Aleph Function: Properties and Their Applications

SOLANKI, NANCY; Vigilia, J.K. Navis

ISBN 10: 6208416701 / ISBN 13: 9786208416706

Published by LAP LAMBERT Academic Publishing, 2025

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Bibliographic Details

• Title: Aleph Function: Properties and Their Applications
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2025
• Language: English
• ISBN 10: 6208416701
• ISBN 13: 9786208416706
• Binding: Soft cover
• Condition: New

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Synopsis

In this book we present some more general properties and their applications of Aleph function which is more general extension of Saxena I-function. The usefulness and the importance of the Marichev-Saigo-Maeda fractional integral operators, many authors have presented a number of interesting integral formulas involving special functions by using the Marichev-Saigo-Maeda fractional integral operator. By virtue of the unified nature of Marichev-Saigo-Maeda fractional integral operators, a large number of new and known results involving Saigo, Riemann-Liouville and Erdélyi-Kober fractional integral operators follow as special cases of our main formulas. All the results derived here are of general character and can yield a number of results in the theory of fractional calculus. A variant of such operators (integral transforms) was introduced by Marichev as Mellin type convolution operators with a special function \(F_{3}(\cdot)\) in the kernel. These operators were rediscovered and studied by Saigo as a generalization of the so-called Saigo fractional integral operators.