Investigation of some finite integrals incorporating incomplete Aleph functions

In this paper, we introduce a new approach to the study of finite integral formulas associated with special functions, bringing out the incomplete Aleph functions and other well-known special functions. Our method is based on the finite integral operator applied to incomplete Aleph functions. This a...

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Bibliographic Details
Published inInternational journal of mathematics for industry (Online)
Main Authors Kumar, Sachin, Mishra, Manvendra Narayan, Dubey, Ravi Shanker, Sharma, Rahul
Format Journal Article
LanguageEnglish
Published 25.04.2024
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Summary:In this paper, we introduce a new approach to the study of finite integral formulas associated with special functions, bringing out the incomplete Aleph functions and other well-known special functions. Our method is based on the finite integral operator applied to incomplete Aleph functions. This approach makes it easier to derive integral formulas that connect the incomplete Aleph functions using well-known special functions and algebraic expressions. As a result, we can group integral formulas and special functions into different classes according to similar features. Furthermore, we can discover new integral formulas with this framework that are useful for computational applications.
ISSN:2661-3352
2661-3344
DOI:10.1142/S2661335224500072