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portada Aleph Function: Properties and Their Applications
Type
Physical Book
Publisher
Author
Language
English
Pages
164
Format
Paperback
Dimensions
22.9 x 15.2 x 1.0 cm
ISBN13
9786208416706

Aleph Function: Properties and Their Applications

Solanki, Nancy; Vigilia, J. K. Navis (Author) · LAP Lambert Academic Publishing · Paperback

Aleph Function: Properties and Their Applications - Solanki, Nancy; Vigilia, J. K. Navis

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Synopsis "Aleph Function: Properties and Their Applications"

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.

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