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Certain subclasses of analytic functions associated with fractional q-calculus operators
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 ofExpand
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A NEW CLASS OF MULTIVALENTLY ANALYTIC FUNCTIONS ASSOCIATED WITH FRACTIONAL q-CALCULUS OPERATORS
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 ofExpand
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On q-Laplace Transforms of the q-Bessel Functions
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
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CHEBYSHEV TYPE INEQUALITIES FOR THE SAIGO FRACTIONAL INTEGRALS AND THEIR q-ANALOGUES
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 paperExpand
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Micropropagation of Achras sapota through enhanced axillary branching
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 throughExpand
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CERTAIN NEW INTEGRAL FORMULAS INVOLVING THE GENERALIZED BESSEL FUNCTIONS
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 functionsExpand
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Development of High Efficiency Micropropagation Protocol of an Adult Tree—Wrightia tomentosa
Highly efficient and reproducible micropropagation protocol for Wrightia tomentosa using sexually adult material has been developed. Multiple shoots were induced from nodal shoot segments throughExpand
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Certain Expansion Formulae Involving a Basic Analogue of Fox's H-Function
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
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On Applications of Weyl Fractional q-integral Operator to Generalized Basic Hypergeometric Functions
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 presentExpand
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Generalized q-Taylor's series and applications 1
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.
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