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Now showing items 11-20 of 25

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A new extension of Srivastava's triple hypergeometric functions and their associated properties 

Saboor, Abdus; Rahman, Gauhar; Anjum, Zunaira; Nisar, Kottakkaran Sooppy; Araci, Serkan (De Gruyter Open Ltd, 2020)
In this paper, we define a new extension of Srivastava's triple hypergeometric functions by using a new extension of Pochhammer's symbol that was recently proposed by Srivastava, Rahman and Nisar [H. M. Srivastava, G. ...

Some Fractional Operators with the Generalized Bessel-Maitland Function 

Ali, Rana Safdar; Mubeen, Shahid; Nayab, Iqra; Araci, Serkan; Rahman, Gauhar; Nisar, Kottakkaran Sooppy (Hindawi Limited, 2020)
In this paper, we aim to determine some results of the generalized Bessel-Maitland function in the field of fractional calculus. Here, some relations of the generalized Bessel-Maitland functions and the Mittag-Leffler ...

Solution of Fractional Kinetic Equations Associated with the p,q -Mathieu-Type Series 

Suthar, D. L.; Purohit, Sunil Dutt; Araci, Serkan (Hindawi Limited, 2020)
In this paper, our aim is to finding the solutions of the fractional kinetic equation related with the p,q-Mathieu-type series through the procedure of Sumudu and Laplace transforms. The outcomes of fractional kinetic ...
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Construction of partially degenerate laguerre-genocchi polynomials with their applications 

Usman, Talha; Aman, Mohd; Khan, Owais; Nisar, Kottakkaran Sooppy; Araci, Serkan (American Institute of Mathematical Sciences, 2020)
Various applications of degenerate polynomials in different areas call for the thoughtful study and research, and many extensions and variants can be found in the literature. In this paper, we introduce partially degenerate ...
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Modified laplace transform and its properties 

Saif, Mohd; Khan, Faisal; Nisar, Kottakkaran Sooppy; Araci, Serkan (International Scientific Research Publications, 2020)
In this paper we propose a new definition of the modified Laplace transform La(f(t)) for a piece-wise continuous function of exponential order which further reduces to simple Laplace transform for a = e where a a ≠ 1 and ...

q-LAPLACE TRANSFORM FOR PRODUCT OF GENERAL CLASS OF q-POLYNOMIALS AND q-ANALOGUE OF I-FUNCTION 

Vyas, Vijay Kumar; Al-Jarrah, Ali A.; Purohit, Sunil Dutt; Araci, Serkan; Nisar, Kottakkaran Sooppy (UNIV PRISHTINES, 2020)
In this paper, the basic analogue of the Laplace transforms involving the product of a general class of q-polynomials along with q-analogue of Fox's H-function and q-analogue of I-function is evaluated. Limiting cases of ...

Chebyshev type inequality containing a fractional integral operator with a multi-index Mittag-Leffler function as a kernel 

Jangid, Kamlesh; Purohit, Sunil Dutt; Nisar, Kottakkaran Sooppy; Araci, Serkan (De Gruyter Open Ltd, 1 February)
In this paper, we derive certain Chebyshev type integral inequalities connected with a fractional integral operator in terms of the generalized Mittag-Leffler multi-index function as a kernel. Our key findings are general ...

A STUDY ON SOME NEW RESULTS ARISING FROM (p, q)-CALCULUS 

Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan (INST APPLIED MATHEMATICS, 2020)
This paper includes some new investigations and results for post quantum calculus, denoted by (p, q)-calculus. A chain rule for (p, q)-derivative is given. Also, a new (p, q)-analogue of the exponential function is introduced ...

FINDING MIXED FAMILIES OF SPECIAL POLYNOMIALS ASSOCIATED WITH GOULD-HOPPER MATRIX POLYNOMIALS 

Yasmin, Ghazala; Yasmin, Ghazala; Islahi, Hibah; Araci, Serkan (UNIV PRISHTINES, 2020)
In this article, the general polynomials are taken as base with the Gould-Hopper matrix polynomials to introduce a family of 3-variable general-Gould-Hopper matrix polynomials (3VgGHMaP). These polynomials are framed within ...
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Some properties of generalized (S, k)-bessel function in two variables 

Ali, Rana Safdar; Mubeen, Shahid; Nisar, Kottakkaran Sooppy; Araci, Serkan; Rahman, Gauhar (International Scientific Research Publications, 2022)
The devotion of this paper is to study the Bessel function of two variables in k-calculus. we discuss the generating function of k-Bessel function in two variables and develop its relations. After this we introduce the ...
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Nisar, Kottakkaran Sooppy (7)Acikgoz, Mehmet (5)Purohit, Sunil Dutt (3)Rahman, Gauhar (3)Saif, Mohd (3)Ahmed, Sameh S. (2)Al-Omari, S. (2)Ali, Rana Safdar (2)Aman, Mohd (2)... View MoreSubjectDifferential equations (2)Gamma function (2)k-Fibonacci numbers (2)Mittag-Leffler function (2)Poly-Frobenius–Genocchi polynomials (2)Summation formula (2)(CLR) property (1)(p, q)-calculus (1)2-variable general polynomials (1)Appell functions (1)... View MoreDate Issued2020 (18)2021 (4)2022 (3)Full Text StatusWith Full Text (14)Without Full Text (11)

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