Results 31 to 40 of about 1,211 (149)

A New Family of Degenerate Poly-Genocchi Polynomials with Its Certain Properties

Journal of Function Spaces, 2021
In this paper, we introduce a new type of degenerate Genocchi polynomials and numbers, which are called degenerate poly-Genocchi polynomials and numbers, by using the degenerate polylogarithm function, and we derive several properties of these ...
Waseem A. Khan, Rifaqat Ali, Khaled Ahmad Hassan Alzobydi, Naeem Ahmed   +3 more
doaj   +1 more source

A note on the values of the weighted q-Bernstein polynomials and modified q-Genocchi numbers with weight alpha and beta via the p-adic q-integral on Zp [PDF]

, 2012
The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers.
DS Kim, HM Srivastava, HM Srivastava, IN Cangul, M Acikgoz, Mehmet Açikgöz, S Araci, S Araci, S Araci, S Araci, S Araci, S Araci, S-H Rim, Serkan Araci, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, Y Simsek, Y Simsek   +25 more
core   +2 more sources

Solution of Space‐Time Fractional Differential Equations Using Aboodh Transform Iterative Method

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
A relatively new and efficient approach based on a new iterative method and the Aboodh transform called the Aboodh transform iterative method is proposed to solve space‐time fractional differential equations, the fractional order is considered in the Caputo sense.
Michael A. Awuya, Gbenga O. Ojo, Nazim I. Mahmudov, Arzu Akbulut   +3 more
wiley   +1 more source

A note on $q$-Euler and Genocchi numbers [PDF]

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2001
It is known that the Euler polynomials \(E_n(x)\) defined by the generating function \[ 2e^{tx}(e^t+1)^{-1}=\sum_{n=0}^\infty E_n(x)\frac{t^n}{n!} \] can be expressed via the Genocchi numbers corresponding to the generating function\break \(2t(e^t+1)^{-1}\). The authors find a \(q\)-analog of this relation.
Kim, Taekyun, Jang, Lee-Chae, Pak, Hong Kyung   +2 more
openaire   +2 more sources

Numerical Solution via Operational Matrix for Solving Prabhakar Fractional Differential Equations

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this work, we apply the operational matrix based on shifted Legendre polynomials for solving Prabhakar fractional differential equations. The Prabhakar derivative is defined in three‐parameter Mittag‐Leffler function. We achieve this by first deriving the analytical expression for Prabhakar derivative of xp where p is positive integer, via ...
Farah Suraya Md Nasrudin, Chang Phang, Stanislaw Migorski   +2 more
wiley   +1 more source

Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials [PDF]

, 2013
In this paper, we will deal with some new formulae for two product Genocchi polynomials together with both Euler polynomials and Bernoulli polynomials. We get some applications for Genocchi polynomials.
Acikgoz, Mehmet, Araci, Serkan, Şen, Erdoğan   +2 more
core   +3 more sources

An Efficient Numerical Scheme for Solving Multiorder Tempered Fractional Differential Equations via Operational Matrix

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we extend the operational matrix method to solve the tempered fractional differential equation, via shifted Legendre polynomial. Although the operational matrix method is widely used in solving various fractional calculus problems, it is yet to apply in solving fractional differential equations defined in the tempered fractional ...
Abiodun Ezekiel Owoyemi, Chang Phang, Yoke Teng Toh, Arzu Akbulut   +3 more
wiley   +1 more source

Some Relations of the Twisted q-Genocchi Numbers and Polynomials with Weight α and Weak Weight β

Abstract and Applied Analysis, 2012
Recently many mathematicians are working on Genocchi polynomials and Genocchi numbers. We define a new type of twisted q-Genocchi numbers and polynomials with weight 𝛼 and weak weight 𝛽 and give some interesting relations of the twisted q-Genocchi ...
J. Y. Kang, H. Y. Lee, N. S. Jung
doaj   +1 more source

On a class of $q$-Bernoulli, $q$-Euler and $q$-Genocchi polynomials [PDF]

, 2014
The main purpose of this paper is to introduce and investigate a class of $q$-Bernoulli, $q$-Euler and $q$-Genocchi polynomials. The $q$-analogues of well-known formulas are derived.
Mahmudov, N. I., Momenzadeh, M.
core   +3 more sources

On the new type of degenerate poly-Genocchi numbers and polynomials

Advances in Difference Equations, 2020
Kim and Kim (J. Math. Anal. Appl. 487:124017, 2020) introduced the degenerate logarithm function, which is the inverse of the degenerate exponential function, and defined the degenerate polylogarithm function.
Dae Sik Lee, Hye Kyung Kim
doaj   +1 more source