A NOTE ON FRACTIONAL DERIVATIVE AND ITS APPLICATIONS
Journal Title: Journal of Ramanujan Society of Mathematics and Mathematical Sciences - Year 2017, Vol 6, Issue 1
Abstract
In this paper, starting from the historical developments of fractional calculus, certain results regarding fractional calculus have been discussed. These results have been further used to establish transformation formulae for ordinary hypergeometric series as well as for q-hypergeometric series.
Authors and Affiliations
Satya Prakash Singh, Vijay Yadav, Priyanka Singh
A VARIANT OF THE TYPE-1 BETA AND DIRICHLET INTEGRALS
A double integral, which can be taken as an extension of a type-1 beta integral, is introduced and its properties are studied. Than a $k$-variate multiple integral on a unit cube in Euclidean $k$-space is introduced, whi...
ON CERTAIN TRANSFORMATION FORMULAS INVOLVING q-HYPERGEOMETRIC SERIES
In this paper transformations formulas involving q-hypergeometric series have been established. Certain identities have been deduced as special cases.
SOME RECENT ADVANCES IN NUMBER THEORY
1. RSA Algorithm} & -1977 \\ 2. Andrew Wiles-FLT}& -1995 \\ 3. AKS Primality Test} & -2002 \\ 4. Terence-Tao AP \& Primes} & -2006 \\ 5. Yitang Zhang-``Bounded Gaps"} & -2011
COMMON FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS IN DISLOCATED METRIC SPACE
In this paper, we discuss the existence and uniqueness of common fixed point and some new common fixed point theorems for two pairs of weakly compatible mappings in a dislocated metric space, our results generalizes an...
ON CERTAIN TRANSFORMATIONS OF BASIC HYPERGEOMETRIC FUNCTIONS USING BAILEY'S TRANSFORM
In this paper, making use of Bailey transform and certain known sum- mation formulas, we have established certain interesting transformation formulas of basic hypergeometric series.