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Integral Transforms and Volterra Functions
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Authors: Alexander Apelblat (Ben Gurion University of the Negev, Beer Sheva, Israel) 
Book Description:
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 new book examines both integral equations and Volterra functions in detail and highlights the important roles that each of these functions perform.


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Table of Contents:
Preface
1.Introduction;pp.3-4
2. Laplace Transforms of the Volterra Functions;pp. 5-6

3. Applications of the Laplace Transformation Properties;pp. 17-26

4. Laplace Transforms Expressible in Terms of the Volterra Functions;pp. 27-40

5. Integral Formulas Involving the Volterra Functions;pp. 41-48

6. Interrelations Between the Volterra Functions and Other Special Functions;pp. 49-80

7. Volterra Functions and Other One-Dimensional Integral Transformations;pp. 81-114

8. Volterra Functions and Two-Dimensional Laplace Transformations;pp. 115-148

9. Volterra Functions and Other Two-Dimensional Transformations;pp. 149-166

References;pp.167-172
Appendix;pp.173-220
A. Basic Properties of Volterra Functions

B. Rules of General Character of Integral Transforms

C. List of Symbols and Definitions of Special Functions

Index

   Series:
      Mathematics Research Developments
   Binding: Softcover
   Pub. Date: 2010
   Pages: 6 x 9, 223 pp.
   ISBN: 978-1-61668-362-7
   Status: AV
  
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
  
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Integral Transforms and Volterra Functions