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[PDF] Top 20 5. On Generalized Fractional $q$-Integral Operators Involving The $q$-Gauss Hypergeometric Function

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5. On Generalized Fractional $q$-Integral Operators Involving The $q$-Gauss Hypergeometric Function

5. On Generalized Fractional $q$-Integral Operators Involving The $q$-Gauss Hypergeometric Function

... the Fractional Calculus and Differential Equa- tions, A Wiley Interscience ...Nishimoto, Fractional Calculus, Descartes Press, Koriyama (Japan), ...Nishimoto, Fractional Calculus-II, Descartes Press, ... See full document

10

A Study of Unified Fractional Integral Operator Involving Generalized Laguerre Function and (т,ᵦ)-Generalized Associated Legendre Function

A Study of Unified Fractional Integral Operator Involving Generalized Laguerre Function and (т,ᵦ)-Generalized Associated Legendre Function

... of fractional integral operators presented in this document are quite ...functions involving in this paper, we obtain various other results as its special ...the generalized ... See full document

7

Certain generalized fractional calculus formulas and integral transforms involving \((p,q)\) Mathieu type series

Certain generalized fractional calculus formulas and integral transforms involving \((p,q)\) Mathieu type series

... These operators includes Saigo hypergeometric fractional calculus operators, Riemann– Liouville and Erdélyi–Kober fractional calculus operators as special cases for various ... See full document

11

A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators

A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators

... = q = 0 these hypergeometric functions immediately reduce to their original ...various integral represen- tations of these functions by using the integral representation of the new beta ... See full document

11

FRACTIONAL INTEGRALS FOR THE PRODUCT OF SRIVASTAVA'S POLYNOMIAL AND (p, q)-EXTENDED HYPERGEOMETRIC FUNCTION

FRACTIONAL INTEGRALS FOR THE PRODUCT OF SRIVASTAVA'S POLYNOMIAL AND (p, q)-EXTENDED HYPERGEOMETRIC FUNCTION

... (p, q)–extended Gauss’s hypergeometric function by applying the Saigo-Maeda fractional integral operators involving Appell’s function F 3 ... See full document

8

A Study of Unified Fractional Integral Operators Involving S-Generalized Gauss's Hypergeometric, Fox's H-Function and Gimel Function

A Study of Unified Fractional Integral Operators Involving S-Generalized Gauss's Hypergeometric, Fox's H-Function and Gimel Function

... to hypergeometric and related functions, Integral Transforms and Special Functions: 23, 659683 (2012) [8] ...the generalized Gauss hypergeometric functions, Applied Mathematics and ... See full document

7

Fractional Calculus Results Based On Extended Gauss Hypergeometric Functions and Via Pathway Model

Fractional Calculus Results Based On Extended Gauss Hypergeometric Functions and Via Pathway Model

... pathway fractional integral. We have studied the fractional composition of the pathway fractional integral operator with a product extended generalized hypergeometric ... See full document

7

21. {q}-analogues of Saigo's fractional calculus operators

21. {q}-analogues of Saigo's fractional calculus operators

... of fractional integral operators and fractional derivatives involving generalizd hypergeometric ...their q-analogues. First, we define a pair of q-analogues of ... See full document

11

On weighted inequalities for certain fractional integral operators

On weighted inequalities for certain fractional integral operators

... The operators in ...Weyl fractional integral operators defined in [5] (see also ...the Gauss hypergeometric function 2 F 1 (α, β;γ;x), the following ... See full document

7

Certain Grüss type inequalities involving the generalized fractional integral operator

Certain Grüss type inequalities involving the generalized fractional integral operator

... type fractional integral inequalities involving the special function have been investigated by many ...inequalities involving the Saigo fractional integral ...type ... See full document

8

Generalized fractional integral operators and the multivariable H function

Generalized fractional integral operators and the multivariable H function

... The function defined by ..., q, in (.) the mul- tivariable H-function defined and studied by Saxena [, ] is ... Fractional integrals involving multivariable H-functions are given ... See full document

17

q Integral inequalities associated with some fractional q integral operators

q Integral inequalities associated with some fractional q integral operators

... type integral inequalities for the syn- chronous functions involving the hypergeometric fractional integral operator ...lemma involving a q-analogue of Saigo’s ... See full document

13

Siago’s $K$-Fractional Calculus Operators

Siago’s $K$-Fractional Calculus Operators

... k–Saigo fractional integral and derivative operators involving generalized k–hypergeometric ...Saigo-k generalized fractional operators involving ... See full document

11

Generalized  Euler Numbers and Polynomials Associated with  Adic  Integral on

Generalized Euler Numbers and Polynomials Associated with Adic Integral on

... 30, q 1/10, w 2, and a 2. In Figure 2 top- right, we choose n 30, q 3/10, w 2, and a ...30, q 7/10, w 2, and a 2. In Figure 2 bottom-right, we choose n 30, q 9/10, w 2 and a ... See full document

15

Multiple positive solutions to singular fractional differential equations with integral boundary conditions involving \(p q\) order derivatives

Multiple positive solutions to singular fractional differential equations with integral boundary conditions involving \(p q\) order derivatives

... FDEs integral boundary problems (BVPs) with one or two parameters in boundary conditions is ob- tained by means of fixed point theory [5, 14, 22, ...with integral boundary conditions can be found in ... See full document

13

Toeplitz and Translation Operators on the q Fock Spaces

Toeplitz and Translation Operators on the q Fock Spaces

... D z and the multiplication operator by , and proves that these operators are densely defined, closed and adjoint-operators on (see [1]). Next, the Hilbert space is called Segal-Bargmann space or Fock space ... See full document

9

Multiple Integrals Involving The S Generalized Gauss's Hypergeometric Function, Class of Polynomials, Multivariable Aleph-Function and Multivariable I-Function I

Multiple Integrals Involving The S Generalized Gauss's Hypergeometric Function, Class of Polynomials, Multivariable Aleph-Function and Multivariable I-Function I

... a generalized multiple integrals involving the multivariable Aleph-function, a class of polynomials of several variables, the S generalized Gauss hypergeometric function ... See full document

8

Generalized Hermite Hadamard type inequalities involving fractional integral operators

Generalized Hermite Hadamard type inequalities involving fractional integral operators

... where the coefficients σ (k) (k ∈ N = N ∪{}) are a bounded sequence of positive real num- bers and R is the set of real numbers. With the help of (.), Raina [] and Agarwal et al. [] defined the following left-sided ... See full document

10

On \((p,q)\) analogue of two parametric Stancu Beta operators

On \((p,q)\) analogue of two parametric Stancu Beta operators

... The q-calculus has led to the discovery of the (p, ...(p, q)-calculus in approximation ...(p, q)-analogue of the classical Bernstein operators [], a (p, q)-analogue of the Bernstein- ... See full document

15

On some fractional q-Integral inequalities

On some fractional q-Integral inequalities

... Rahman, Basic Hypergeometric Series , 2nd Edition, (2004), Encyclopedia of Math- ematics and Its Applications, 96, Cambridge University Press, Cambridge.. [8] F[r] ... See full document

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