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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

Editor
Contributor
Summary
This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five 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 self-contained 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
Work
Publication
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 non-trivial zeros of the Riemann Zeta function (M. Hassani)
  • On the value-distribution of logarithmic derivatives of Dirichlet L-functions (Y. Ihara, K. Matsumoto)
  • Multiple Gamma functions and their applications (J. Choi)
  • On partition functions of hyperbolic three-geometry 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 q-Stirling numbers (M. Merca)
  • Part II. Analytic Inequalities and Applications
  • A survey on Cauchy-Bunyakovsky-Schwarz inequality for power series (A. Ibrahim, S.S. Dragomir)
  • Topics in special functions III (G.D. Anderson, M. Vuorinen, X. Zhang)
  • Completely monotone functions-a digest (M. Merkle)
  • New applications of superquadracity (S. Abramovich)
  • Green's operator and differential forms (S. Ding, Y. Xing)
  • Multidimensional discrete Hilbert-type inequalities, operators and compositions (B. Yang)
  • The function (bx-ax)/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 summation-integral 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 Baker-Gammel-Wills (Padé) conjecture (D.S. Lubinsky)
  • Optimal quadrature formulas and interpolation splines minimizing the semi-norm 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 Uvarov-Chihara problem and some extensions (K. Castillo, L. Garza, F. Marcellán)
  • On special cases of Boas-Buck type polynomial sequences (A.F. Loureiro, S. Yakubovich)
  • Goursat's hypergeometric transformations, revisited (P.W. Karlsson)
  • Convolutions product and differential and integro-differential equations (A. Kiliçman)
  • Orthogonally additive-additive functional equation (C. Park)
  • Part V. Special and Complex Functions and Applications
  • Alternating Mathieu series, Hilbert-Eisteinstein 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 b-series for classical Schottky groups (V.V. Mityushev)
  • Inclusion properties for certain classes of meromorphic multivalent functions (N.E. Cho)
  • A journey from Gross-problem to Fujimoto-condition (I. Lahiri, A Banerjee)
  • Index
Isbn
9781493945382
Instance
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
Contributor
Editor
Honouree
Subject
Language
eng
Summary
This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five 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 self-contained 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
Instantiates
Publication
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 non-trivial zeros of the Riemann Zeta function (M. Hassani) -- On the value-distribution of logarithmic derivatives of Dirichlet L-functions (Y. Ihara, K. Matsumoto) -- Multiple Gamma functions and their applications (J. Choi) -- On partition functions of hyperbolic three-geometry 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 q-Stirling numbers (M. Merca) -- Part II. Analytic Inequalities and Applications -- A survey on Cauchy-Bunyakovsky-Schwarz inequality for power series (A. Ibrahim, S.S. Dragomir) -- Topics in special functions III (G.D. Anderson, M. Vuorinen, X. Zhang) -- Completely monotone functions-a digest (M. Merkle) -- New applications of superquadracity (S. Abramovich) -- Green's operator and differential forms (S. Ding, Y. Xing) -- Multidimensional discrete Hilbert-type inequalities, operators and compositions (B. Yang) -- The function (bx-ax)/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 summation-integral 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 Baker-Gammel-Wills (Padé) conjecture (D.S. Lubinsky) -- Optimal quadrature formulas and interpolation splines minimizing the semi-norm 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 Uvarov-Chihara problem and some extensions (K. Castillo, L. Garza, F. Marcellán) -- On special cases of Boas-Buck type polynomial sequences (A.F. Loureiro, S. Yakubovich) -- Goursat's hypergeometric transformations, revisited (P.W. Karlsson) -- Convolutions product and differential and integro-differential equations (A. Kiliçman) -- Orthogonally additive-additive functional equation (C. Park) -- Part V. Special and Complex Functions and Applications -- Alternating Mathieu series, Hilbert-Eisteinstein 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 b-series for classical Schottky groups (V.V. Mityushev) -- Inclusion properties for certain classes of meromorphic multivalent functions (N.E. Cho) -- A journey from Gross-problem to Fujimoto-condition (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
10.1007/978-1-4939-0258-3
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
Publication
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 non-trivial zeros of the Riemann Zeta function (M. Hassani) -- On the value-distribution of logarithmic derivatives of Dirichlet L-functions (Y. Ihara, K. Matsumoto) -- Multiple Gamma functions and their applications (J. Choi) -- On partition functions of hyperbolic three-geometry 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 q-Stirling numbers (M. Merca) -- Part II. Analytic Inequalities and Applications -- A survey on Cauchy-Bunyakovsky-Schwarz inequality for power series (A. Ibrahim, S.S. Dragomir) -- Topics in special functions III (G.D. Anderson, M. Vuorinen, X. Zhang) -- Completely monotone functions-a digest (M. Merkle) -- New applications of superquadracity (S. Abramovich) -- Green's operator and differential forms (S. Ding, Y. Xing) -- Multidimensional discrete Hilbert-type inequalities, operators and compositions (B. Yang) -- The function (bx-ax)/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 summation-integral 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 Baker-Gammel-Wills (Padé) conjecture (D.S. Lubinsky) -- Optimal quadrature formulas and interpolation splines minimizing the semi-norm 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 Uvarov-Chihara problem and some extensions (K. Castillo, L. Garza, F. Marcellán) -- On special cases of Boas-Buck type polynomial sequences (A.F. Loureiro, S. Yakubovich) -- Goursat's hypergeometric transformations, revisited (P.W. Karlsson) -- Convolutions product and differential and integro-differential equations (A. Kiliçman) -- Orthogonally additive-additive functional equation (C. Park) -- Part V. Special and Complex Functions and Applications -- Alternating Mathieu series, Hilbert-Eisteinstein 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 b-series for classical Schottky groups (V.V. Mityushev) -- Inclusion properties for certain classes of meromorphic multivalent functions (N.E. Cho) -- A journey from Gross-problem to Fujimoto-condition (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
10.1007/978-1-4939-0258-3
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)874914374

Subject

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