The Resource Analytic number theory, approximation theory, and special functions : in honor of Hari M. Srivastava, Gradimir V. Milocanović, Michael Th. Rassias, editors
Analytic number theory, approximation theory, and special functions : in honor of Hari M. Srivastava, Gradimir V. Milocanović, Michael Th. Rassias, editors
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The item Analytic number theory, approximation theory, and special functions : in honor of Hari M. Srivastava, Gradimir V. Milocanović, Michael Th. Rassias, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirtyfive articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality, and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and selfcontained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics, and other computational and applied sciences
 Language
 eng
 Extent
 1 online resource
 Contents

 Part I. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials
 The mean values of the Riemann Zeta function on the critical line (A. Ivić)
 Explicit bounds concerning nontrivial zeros of the Riemann Zeta function (M. Hassani)
 On the valuedistribution of logarithmic derivatives of Dirichlet Lfunctions (Y. Ihara, K. Matsumoto)
 Multiple Gamma functions and their applications (J. Choi)
 On partition functions of hyperbolic threegeometry and associated Hilbert schemes (A.A. Bytsenko and E. Elizalde)
 Families of twisted Bernoulli numbers, twisted Bernoulli polynomials and their applications (Y. Simsek)
 Combinatorial interpretation of a generalized basic series (A.K. Agarwal, M. Rana)
 Identities for reciprocal binomials (A. Sofo)
 A note on qStirling numbers (M. Merca)
 Part II. Analytic Inequalities and Applications
 A survey on CauchyBunyakovskySchwarz inequality for power series (A. Ibrahim, S.S. Dragomir)
 Topics in special functions III (G.D. Anderson, M. Vuorinen, X. Zhang)
 Completely monotone functionsa digest (M. Merkle)
 New applications of superquadracity (S. Abramovich)
 Green's operator and differential forms (S. Ding, Y. Xing)
 Multidimensional discrete Hilberttype inequalities, operators and compositions (B. Yang)
 The function (bxax)/x: Ratio's properties (F. Qi, Q.M. Luo, B.N. Guo)
 On the approximation and bounds of the Gini mean difference (P. Cerone)
 On parametric nonconvex variational inequalities (M.A. Noor)
 Part III. Approximation of Functions and Quadratures
 Simultaneous approximation for Stancu type generalization of certain summationintegral typfe operators (N.K. Govil, V. Gupta)
 Korovkin type approximation theorem for functions of two variables via statistical summability (M. Mursaleen, S.A. Mohiuddine)
 Reflections on the BakerGammelWills (Padé) conjecture (D.S. Lubinsky)
 Optimal quadrature formulas and interpolation splines minimizing the seminorm in the Hilbert space K2(P2) (A.R. Hayotov, G.V. Milovanović, K.M. Shadimetov)
 Numerical integration of highly oscillating functions (G.V. Milovanović, M.P. Stanić)
 Part IV. Orthogonality, Transformations and Applications
 Asymptotic reductions between the Wilson polynomials and the lower level polynomials of the Askey scheme (C. Ferreira, J.L. López, E.P. Sinusía)
 On a direct UvarovChihara problem and some extensions (K. Castillo, L. Garza, F. Marcellán)
 On special cases of BoasBuck type polynomial sequences (A.F. Loureiro, S. Yakubovich)
 Goursat's hypergeometric transformations, revisited (P.W. Karlsson)
 Convolutions product and differential and integrodifferential equations (A. Kiliçman)
 Orthogonally additiveadditive functional equation (C. Park)
 Part V. Special and Complex Functions and Applications
 Alternating Mathieu series, HilbertEisteinstein series and their generalized Omega functions (A. Baricz, P.L. Butzer, T.K. Pogány)
 Properties of the product of modified Bessel functions (A. Baricz, T.K. Pogány)
 Mapping properties of an integral operator involving Bessel functions (S. Porwal, D. Breaz)
 Poincaré bseries for classical Schottky groups (V.V. Mityushev)
 Inclusion properties for certain classes of meromorphic multivalent functions (N.E. Cho)
 A journey from Grossproblem to Fujimotocondition (I. Lahiri, A Banerjee)
 Index
 Isbn
 9781493945382
 Label
 Analytic number theory, approximation theory, and special functions : in honor of Hari M. Srivastava
 Title
 Analytic number theory, approximation theory, and special functions
 Title remainder
 in honor of Hari M. Srivastava
 Statement of responsibility
 Gradimir V. Milocanović, Michael Th. Rassias, editors
 Subject

 Approximation theory
 Approximation theory
 Approximation theory
 Approximations and Expansions
 Difference and Functional Equations
 Functional Analysis
 Functions, Special
 Functions, Special
 Functions, Special
 MATHEMATICS  Algebra  Intermediate
 Mathematics
 Number Theory
 Number theory
 Number theory
 Number theory
 Language
 eng
 Summary
 This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirtyfive articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality, and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and selfcontained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics, and other computational and applied sciences
 Cataloging source
 N$T
 Dewey number
 512.7
 Index
 index present
 LC call number
 QA241
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1987
 http://library.link/vocab/relatedWorkOrContributorName

 Srivastava, H. M.
 Milovanović, G. V.
 Rassias, Michael Th.
 http://library.link/vocab/subjectName

 Number theory
 Approximation theory
 Functions, Special
 Mathematics
 Number Theory
 Approximations and Expansions
 Functional Analysis
 Difference and Functional Equations
 MATHEMATICS
 Approximation theory
 Functions, Special
 Number theory
 Label
 Analytic number theory, approximation theory, and special functions : in honor of Hari M. Srivastava, Gradimir V. Milocanović, Michael Th. Rassias, editors
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Part I. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials  The mean values of the Riemann Zeta function on the critical line (A. Ivić)  Explicit bounds concerning nontrivial zeros of the Riemann Zeta function (M. Hassani)  On the valuedistribution of logarithmic derivatives of Dirichlet Lfunctions (Y. Ihara, K. Matsumoto)  Multiple Gamma functions and their applications (J. Choi)  On partition functions of hyperbolic threegeometry and associated Hilbert schemes (A.A. Bytsenko and E. Elizalde)  Families of twisted Bernoulli numbers, twisted Bernoulli polynomials and their applications (Y. Simsek)  Combinatorial interpretation of a generalized basic series (A.K. Agarwal, M. Rana)  Identities for reciprocal binomials (A. Sofo)  A note on qStirling numbers (M. Merca)  Part II. Analytic Inequalities and Applications  A survey on CauchyBunyakovskySchwarz inequality for power series (A. Ibrahim, S.S. Dragomir)  Topics in special functions III (G.D. Anderson, M. Vuorinen, X. Zhang)  Completely monotone functionsa digest (M. Merkle)  New applications of superquadracity (S. Abramovich)  Green's operator and differential forms (S. Ding, Y. Xing)  Multidimensional discrete Hilberttype inequalities, operators and compositions (B. Yang)  The function (bxax)/x: Ratio's properties (F. Qi, Q.M. Luo, B.N. Guo)  On the approximation and bounds of the Gini mean difference (P. Cerone)  On parametric nonconvex variational inequalities (M.A. Noor)  Part III. Approximation of Functions and Quadratures  Simultaneous approximation for Stancu type generalization of certain summationintegral typfe operators (N.K. Govil, V. Gupta)  Korovkin type approximation theorem for functions of two variables via statistical summability (M. Mursaleen, S.A. Mohiuddine)  Reflections on the BakerGammelWills (Padé) conjecture (D.S. Lubinsky)  Optimal quadrature formulas and interpolation splines minimizing the seminorm in the Hilbert space K2(P2) (A.R. Hayotov, G.V. Milovanović, K.M. Shadimetov)  Numerical integration of highly oscillating functions (G.V. Milovanović, M.P. Stanić)  Part IV. Orthogonality, Transformations and Applications  Asymptotic reductions between the Wilson polynomials and the lower level polynomials of the Askey scheme (C. Ferreira, J.L. López, E.P. Sinusía)  On a direct UvarovChihara problem and some extensions (K. Castillo, L. Garza, F. Marcellán)  On special cases of BoasBuck type polynomial sequences (A.F. Loureiro, S. Yakubovich)  Goursat's hypergeometric transformations, revisited (P.W. Karlsson)  Convolutions product and differential and integrodifferential equations (A. Kiliçman)  Orthogonally additiveadditive functional equation (C. Park)  Part V. Special and Complex Functions and Applications  Alternating Mathieu series, HilbertEisteinstein series and their generalized Omega functions (A. Baricz, P.L. Butzer, T.K. Pogány)  Properties of the product of modified Bessel functions (A. Baricz, T.K. Pogány)  Mapping properties of an integral operator involving Bessel functions (S. Porwal, D. Breaz)  Poincaré bseries for classical Schottky groups (V.V. Mityushev)  Inclusion properties for certain classes of meromorphic multivalent functions (N.E. Cho)  A journey from Grossproblem to Fujimotocondition (I. Lahiri, A Banerjee)  Index
 Control code
 874914374
 Dimensions
 unknown
 Extent
 1 online resource
 File format
 unknown
 Form of item
 online
 Isbn
 9781493945382
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781493902583
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)874914374
 Label
 Analytic number theory, approximation theory, and special functions : in honor of Hari M. Srivastava, Gradimir V. Milocanović, Michael Th. Rassias, editors
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Part I. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials  The mean values of the Riemann Zeta function on the critical line (A. Ivić)  Explicit bounds concerning nontrivial zeros of the Riemann Zeta function (M. Hassani)  On the valuedistribution of logarithmic derivatives of Dirichlet Lfunctions (Y. Ihara, K. Matsumoto)  Multiple Gamma functions and their applications (J. Choi)  On partition functions of hyperbolic threegeometry and associated Hilbert schemes (A.A. Bytsenko and E. Elizalde)  Families of twisted Bernoulli numbers, twisted Bernoulli polynomials and their applications (Y. Simsek)  Combinatorial interpretation of a generalized basic series (A.K. Agarwal, M. Rana)  Identities for reciprocal binomials (A. Sofo)  A note on qStirling numbers (M. Merca)  Part II. Analytic Inequalities and Applications  A survey on CauchyBunyakovskySchwarz inequality for power series (A. Ibrahim, S.S. Dragomir)  Topics in special functions III (G.D. Anderson, M. Vuorinen, X. Zhang)  Completely monotone functionsa digest (M. Merkle)  New applications of superquadracity (S. Abramovich)  Green's operator and differential forms (S. Ding, Y. Xing)  Multidimensional discrete Hilberttype inequalities, operators and compositions (B. Yang)  The function (bxax)/x: Ratio's properties (F. Qi, Q.M. Luo, B.N. Guo)  On the approximation and bounds of the Gini mean difference (P. Cerone)  On parametric nonconvex variational inequalities (M.A. Noor)  Part III. Approximation of Functions and Quadratures  Simultaneous approximation for Stancu type generalization of certain summationintegral typfe operators (N.K. Govil, V. Gupta)  Korovkin type approximation theorem for functions of two variables via statistical summability (M. Mursaleen, S.A. Mohiuddine)  Reflections on the BakerGammelWills (Padé) conjecture (D.S. Lubinsky)  Optimal quadrature formulas and interpolation splines minimizing the seminorm in the Hilbert space K2(P2) (A.R. Hayotov, G.V. Milovanović, K.M. Shadimetov)  Numerical integration of highly oscillating functions (G.V. Milovanović, M.P. Stanić)  Part IV. Orthogonality, Transformations and Applications  Asymptotic reductions between the Wilson polynomials and the lower level polynomials of the Askey scheme (C. Ferreira, J.L. López, E.P. Sinusía)  On a direct UvarovChihara problem and some extensions (K. Castillo, L. Garza, F. Marcellán)  On special cases of BoasBuck type polynomial sequences (A.F. Loureiro, S. Yakubovich)  Goursat's hypergeometric transformations, revisited (P.W. Karlsson)  Convolutions product and differential and integrodifferential equations (A. Kiliçman)  Orthogonally additiveadditive functional equation (C. Park)  Part V. Special and Complex Functions and Applications  Alternating Mathieu series, HilbertEisteinstein series and their generalized Omega functions (A. Baricz, P.L. Butzer, T.K. Pogány)  Properties of the product of modified Bessel functions (A. Baricz, T.K. Pogány)  Mapping properties of an integral operator involving Bessel functions (S. Porwal, D. Breaz)  Poincaré bseries for classical Schottky groups (V.V. Mityushev)  Inclusion properties for certain classes of meromorphic multivalent functions (N.E. Cho)  A journey from Grossproblem to Fujimotocondition (I. Lahiri, A Banerjee)  Index
 Control code
 874914374
 Dimensions
 unknown
 Extent
 1 online resource
 File format
 unknown
 Form of item
 online
 Isbn
 9781493945382
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781493902583
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)874914374
Subject
 Approximation theory
 Approximation theory
 Approximation theory
 Approximations and Expansions
 Difference and Functional Equations
 Functional Analysis
 Functions, Special
 Functions, Special
 Functions, Special
 MATHEMATICS  Algebra  Intermediate
 Mathematics
 Number Theory
 Number theory
 Number theory
 Number theory
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