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Publications Influence

Certain subclasses of analytic functions associated with fractional q-calculus operators

- S. D. Purohit, R. Raina
- Mathematics
- 1 September 2011

We first define the $q$-analogue operators of fractional calculus which are then used in defining certain classes of functions analytic in the open disk. The results investigated for these classes of… Expand

50 10

A NEW CLASS OF MULTIVALENTLY ANALYTIC FUNCTIONS ASSOCIATED WITH FRACTIONAL q-CALCULUS OPERATORS

- S. D. Purohit
- Mathematics
- 2012

Making use of a certain operator of fractional q-derivative, we introduce a new class of multivalently analytic functions in the open unit disk. Among the results investigated for this class of… Expand

19 6- PDF

On q-Laplace Transforms of the q-Bessel Functions

- S. D. Purohit, Shyam L. Kalla
- Mathematics
- 2007

The present paper deals with the evaluation of the q-Laplace transforms of a product of basic analogues of the Bessel functions. As applications, several useful special cases have been deduced.… Expand

18 3- PDF

CHEBYSHEV TYPE INEQUALITIES FOR THE SAIGO FRACTIONAL INTEGRALS AND THEIR q-ANALOGUES

- S. D. Purohit, R. Raina
- Mathematics
- 2013

The aim of the present paper is to obtain certain new integral inequalities involving the Saigo fractional integral operator. It is also shown how the various inequalities considered in this paper… Expand

31 3- PDF

Micropropagation of Achras sapota through enhanced axillary branching

- S. D. Purohit, A. Singhvi
- Biology
- 31 August 1998

Abstract A complete protocol for micropropagation of Achras sapota using cotyledonary node segments has been developed. Multiple shoots were induced in vitro from nodal segments through… Expand

37 2

CERTAIN NEW INTEGRAL FORMULAS INVOLVING THE GENERALIZED BESSEL FUNCTIONS

- Junesang Choi, P. Agarwal, S. Mathur, S. D. Purohit
- Mathematics
- 31 July 2014

Abstract. A remarkably large number of integral formulas involving avariety of special functions have been developed by many authors. Alsomany integral formulas involving various Bessel functions… Expand

51 2

Development of High Efficiency Micropropagation Protocol of an Adult Tree—Wrightia tomentosa

- S. D. Purohit, P. Joshi, K. Tak, R. Nagori
- Biology
- 2004

Highly efficient and reproducible micropropagation protocol for Wrightia tomentosa using sexually adult material has been developed. Multiple shoots were induced from nodal shoot segments through… Expand

6 2

Certain Expansion Formulae Involving a Basic Analogue of Fox's H-Function

- S. D. Purohit, R. K. Yadav, Shyam L. Kalla
- Mathematics
- 1 March 2011

Certain expansion formulae for a basic analogue of the Fox’s H-function have been derived by the applications of the q-Leibniz rule for the Weyl type q-derivatives of a product of two functions.… Expand

22 2- PDF

On Applications of Weyl Fractional q-integral Operator to Generalized Basic Hypergeometric Functions

- R. Yadav, S. D. Purohit
- Mathematics
- 2006

Applications of Weyl fractional q-integral operator to various generalized ba- sic hypergeometric functions including the basic analogue of Fox's H-function have been investigated in the present… Expand

20 2- PDF

Generalized q-Taylor's series and applications 1

- S. D. Purohit, R. K. Raina
- Mathematics
- 2010

A generalized q-Taylor’s formula in fractional q-calculus is established and used in deriving certain q-generating functions for the basic hypergeometric functions and basic Fox’s H-function.

5 2- PDF