Unified presentation of certain families of elliptic-type integrals related to Euler integrals and generating functions | Zendy

V. B. L. Chaurasia | Zendy; R. C. Meghwal | Zendy

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Unified presentation of certain families of elliptic-type integrals related to Euler integrals and generating functions

Author(s) -

V. B. L. Chaurasia,

R. C. Meghwal

Publication year - 2012

Publication title -

tamkang journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 18

eISSN - 0049-2930

pISSN - 2073-9826

DOI - 10.5556/j.tkjm.43.2012.1320

Subject(s) - mathematics , type (biology) , unification , elliptic integral , euler's formula , generalization , quarter period , order of integration (calculus) , pure mathematics , slater integrals , jacobi elliptic functions , algebra over a field , manifold (fluid mechanics) , mathematical analysis , elliptic curve , computer science , ecology , biology , programming language , mechanical engineering , engineering

The aim of the present paper is to give unified presentation of certain families of elliptic-type integrals related to Euler integrals and generating functions. It is a unification and generalization of certain families of elliptic-type integrals which were studied in a number of earlier works on the subject due to their importance and potential in certain problems in radiation physics and nuclear technology. The results established in this paper are of manifold generality and basic in nature. Besides deriving various known and new elliptic-type integrals and their generalizations these theorems can be used to evaluate various Euler-type integrals involving a number of generating functions

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