Integral transforms and volterra functions

著者

書誌事項

Integral transforms and volterra functions

Alexander Apelblat

（Mathematics research developments series）

Nova Science Publishers, c2010

大学図書館所蔵 件 / 全3件

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注記

Includes bibliographical reference (p.[167]-171) and index

内容説明・目次

内容説明

The Volterra functions appeared at the beginning of the second decade of the twentieth century in the theory of definite integrals, integral equations and prime numbers in the works of famous mathematicians Srinivasa Ramanujan, Jacques Touchard, Vito Volterra and Edmund Landau. However, between 1943-1953, the Volterra functions started to play an important role also in the investigations of a number of French mathematicians because they found that these functions are the direct and inverse transforms in the laplace transformation of some elementary and special functions. This book examines both integral equations and Volterra functions in detail and highlights the important roles that each of these functions perform.

目次

  • Preface
  • Introduction
  • Laplace Transforms of the Volterra Functions
  • Applications of the Laplace Transformation Properties
  • Laplace Transforms Expressible in Terms of the Volterra Functions
  • Integral Formulas Involving the Volterra Functions
  • Interrelations Between the Volterra Functions & Other Special Functions
  • Volterra Functions & Other One-Dimensional Integral Transformations
  • Volterra Functions & Two-Dimensional Laplace Transformations
  • Volterra Functions & Other Two-Dimensional Transformations
  • References
  • Index.

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