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Fractional Calculus and Its Applications Involving Certain Classes of Functional Relations
Author(s) -
Pandey R. N.,
Srivastava H. M.
Publication year - 1993
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1993892153
Subject(s) - fractional calculus , mathematics , calculus (dental) , operator (biology) , digamma function , functional calculus , pure mathematics , relation (database) , riemann hypothesis , algebra over a field , computer science , medicine , biochemistry , chemistry , dentistry , repressor , prime zeta function , database , arithmetic zeta function , transcription factor , gene
An interesting functional relation between Fox's H‐function and the Digamma function ψ ( z ) was derived recently by applying the Riemann‐Liouville fractional differintegral operator of (real or complex) order µ The object of this paper is to present much simpler alternative derivations of substantially more general classes of functional relations without using fractional calculus. Some relevant historical details are also provided.