Browsing by Author "Nisar, Kottakkaran Sooppy"
Now showing items 1-11 of 11
-
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 ... -
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 ... -
Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution
Araci, Serkan; Rahman, Gauhar; Ghaffar, Abdul; Azeema; Nisar, Kottakkaran Sooppy (MDP, 2019-03-10)Several fractional calculus operators have been introduced and investigated. In this sequence, we aim to establish the Marichev-Saigo-Maeda (MSM) fractional calculus operators and Caputo-type MSM fractional differential ... -
FULLY DEGENERATE HERMITE POLY-BERNOULLI NUMBERS AND POLYNOMIALS
Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Araci, Serkan; Acikgoz, Mehmet (MILI PUBL, 2018-04)In the paper, we first introduce the fully degenerate Hermite poly-Bernoulli polynomials and investigate their properties. Next we derive the implicit summation formulae and general symmetry identities by making use of ... -
Generating functions involving the incomplete H-functions
Jangid, Kamlesh; Purohit, Sunil Dutt; Nisar, Kottakkaran Sooppy; Aracı, Serkan (De Gruyter Open Ltd, 2021)In this article, for the incomplete H-functions, we obtain a set of new generating functions. The bilateral along with linear generating relations are derived for the incomplete H-functions. Many of the generating functions ... -
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 ... -
Multifarious implicit summation formulae of Hermite-based poly-Daehee polynomials
Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan (Natural Sciences Publishing USA, 2018-03-01)In this paper, we introduce the generating function of Hermite-based poly-Daehee numbers and polynomials. By making use of this generating function, we investigate some new and interesting identities for the Hermite-based ... -
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. ... -
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 ... -
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 ... -
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 ...