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Analytic Number Theory, Approximation Theory, and Special Functions

In Honor of Hari M. Srivastava

  • Gradimir V. Milovanović
  • Michael Th. Rassias

Table of contents

  1. Front Matter
    Pages i-xi
  2. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials

  3. Analytic Inequalities and Applications

    1. Front Matter
      Pages 245-245
    2. Alawiah Ibrahim, Silvestru Sever Dragomir
      Pages 247-295
    3. Glen D. Anderson, Matti Vuorinen, Xiaohui Zhang
      Pages 297-345
    4. Milan Merkle
      Pages 347-364
    5. Shoshana Abramovich
      Pages 365-395
    6. Shusen Ding, Yuming Xing
      Pages 397-427
    7. Feng Qi, Qiu-Ming Luo, Bai-Ni Guo
      Pages 485-494
    8. Muhammad Aslam Noor
      Pages 517-527
  4. Approximation of Functions and Quadratures

  5. Orthogonality, Transformations, and Applications

    1. Front Matter
      Pages 651-651
    2. Chelo Ferreira, José L. López, Ester Pérez Sinusía
      Pages 653-690
    3. K. Castillo, L. Garza, F. Marcellán
      Pages 691-704
    4. Ana F. Loureiro, S. Yakubovich
      Pages 705-720
  6. Special and Complex Functions and Applications

    1. Front Matter
      Pages 773-773
    2. Árpád Baricz, Paul L. Butzer, Tibor K. Pogány
      Pages 775-808
    3. Árpád Baricz, Tibor K. Pogány
      Pages 809-820
    4. Indrajit Lahiri, Abhijit Banerjee
      Pages 865-877
  7. Back Matter
    Pages 879-880

About this book

Introduction

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.

Keywords

Analytic Number Theory Approximation theory Riemann Hypothesis additive number theory hypergeometric functions polynomial and orthogonal systems

Editors and affiliations

  • Gradimir V. Milovanović
    • 1
  • Michael Th. Rassias
    • 2
  1. 1.Mathematical InstituteSerbian Academy of Sciences and ArtsBelgradeSerbia
  2. 2.Department of MathematicsETH ZürichZürichSwitzerland

Bibliographic information

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