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  • © 2014

Analytic Number Theory, Approximation Theory, and Special Functions

In Honor of Hari M. Srivastava

  • Presents mathematical results and open problems in a simple and self-contained manner

  • Contains new results in rapidly progressing areas of research in mathematics, engineering, cryptography, mathematical physics and economics

  • Provides a historical overview of analytic number theory, approximation theory and special functions

  • Includes supplementary material: sn.pub/extras

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • ISBN: 978-1-4939-0258-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 169.99
Price excludes VAT (USA)
Hardcover Book USD 199.99
Price excludes VAT (USA)

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Table of contents (35 chapters)

  1. Front Matter

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

    1. Front Matter

      Pages 1-1
    2. Combinatorial Interpretation of a Generalized Basic Series

      • A. K. Agarwal, M. Rana
      Pages 215-225
    3. Identities for Reciprocal Binomials

      • Anthony Sofo
      Pages 227-238
    4. A Note on q-Stirling Numbers

      • Mircea Merca
      Pages 239-244
  3. Analytic Inequalities and Applications

    1. Front Matter

      Pages 245-245
    2. A Survey on Cauchy–Bunyakovsky–Schwarz Inequality for Power Series

      • Alawiah Ibrahim, Silvestru Sever Dragomir
      Pages 247-295
    3. Topics in Special Functions III

      • Glen D. Anderson, Matti Vuorinen, Xiaohui Zhang
      Pages 297-345
    4. Completely Monotone Functions: A Digest

      • Milan Merkle
      Pages 347-364
    5. New Applications of Superquadracity

      • Shoshana Abramovich
      Pages 365-395
    6. Green’s Operator and Differential Forms

      • Shusen Ding, Yuming Xing
      Pages 397-427
    7. The Function (b x − a x )∕x: Ratio’s Properties

      • Feng Qi, Qiu-Ming Luo, Bai-Ni Guo
      Pages 485-494

About this book

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

  • Mathematical Institute, Serbian Academy of Sciences and Arts, Belgrade, Serbia

    Gradimir V. Milovanović

  • Department of Mathematics, ETH Zürich, Zürich, Switzerland

    Michael Th. Rassias

Bibliographic Information

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • ISBN: 978-1-4939-0258-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 169.99
Price excludes VAT (USA)
Hardcover Book USD 199.99
Price excludes VAT (USA)