Results 61 to 70 of about 1,314 (145)

On some extensions for degenerate Frobenius-Euler-Genocchi polynomials with applications in computer modeling

Applied Mathematics in Science and Engineering
In this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function.
Waseem Ahmad Khan, Ugur Duran, Jihad Younis, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

Operational matrix based on Genocchi polynomials for solution of delay differential equations

Ain Shams Engineering Journal, 2018
In this paper, we present a new simple and effective algorithm for solving generalized Pantograph equations, delay differential equations with neutral terms and delay differential system with constant and variable coefficients.The new method is based on ...
Abdulnasir Isah, Chang Phang
doaj   +1 more source

A new family of Apostol–Genocchi polynomials associated with their certain identities

Applied Mathematics in Science and Engineering, 2023
In this paper, we provide a generating function for mix type Apostol–Genocchi polynomials of order η associated with Bell polynomials. We also derive certain important identities of Apostol Genocchi polynomials of order η based on Bell polynomials, such ...
Nabiullah Khan, Saddam Husain, Talha Usman, Serkan Araci   +3 more
doaj   +1 more source

Some New Symmetric Identities for the q-Zeta Type Functions

, 2013
The main object of this paper is to obtain several symmetric properties of the q-Zeta type functions. As applications of these properties, we give some new interesting identities for the modified q-Genocchi polynomials.
Araci, Serkan, Bagdasaryan, Armen, Ozel, Cenap, Srivastava, H. M.   +3 more
core   +1 more source

A NEW APPROACH TO q-GENOCCHI NUMBERS AND POLYNOMIALS [PDF]

Bulletin of the Korean Mathematical Society, 2010
Let us give some notations for \(q\)-series: \[ \left[ x\right] _{q}=\frac{1-q^{x}}{1-q}, \] \[ \left[ m\right] _{q}!=\left[ m\right] _{q}\left[ m-1\right] _{q}...\left[ m-2\right] _{q}\left[ 1\right] _{q}, \] and \[ \left(\begin{matrix} m \\ k \end{matrix}\right) _{q}=\frac{\left[ m\right] _{q}\left[ m-1\right] _{q}\left[ m-2\right] _{q}...\left[ m-k ...
Kurt, Veli, Cenkci, Mehmet
openaire   +1 more source

Shifted Genocchi Polynomials Operational Matrix for Solving Fractional Order System

Eurasian Journal of Science and Engineering, 2021
Genocchi polynomials are known to be defined on the interval [0, 1], but to benefit from the advantages of this polynomials in the field of fractional differential equations (FDEs), it was realized that fractional derivatives of many functions with ...
Abdulnasir Isah, Salisu Ibrahim
doaj   +1 more source

On Multiple Interpolation Functions of the q-Genocchi Polynomials

Journal of Inequalities and Applications, 2010
Recently, many mathematicians have studied various kinds of the q-analogue of Genocchi numbers and polynomials. In the work (New approach to q-Euler, Genocchi numbers and their interpolation functions, “Advanced Studies in Contemporary ...
Sun-Jung Lee, Eun-Jung Moon, Seog-Hoon Rim, Jeong-Hee Jin   +3 more
doaj   +1 more source

Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials

Mathematics, 2018
In this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and summation-transform techniques, we
Yuan He, Serkan Araci, Hari M. Srivastava, Mahmoud Abdel-Aty   +3 more
doaj   +1 more source

Derivatives of tangent function and tangent numbers

, 2015
In the paper, by induction, the Fa\`a di Bruno formula, and some techniques in the theory of complex functions, the author finds explicit formulas for higher order derivatives of the tangent and cotangent functions as well as powers of the sine and ...
Bourbaki, Boyadzhiev, Comtet, Daboul, Dominici, Feng Qi, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Hoffman, Hoffman, Luo, Luo, Ma, Ma, Ma, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Remmert, Schwatt, Schwatt, Wei, Xu, Zhang   +37 more
core   +1 more source

On some sequences of polynomials generating the Genocchi numbers [PDF]

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020
Sequences of Genocchi numbers of the first and second kind are considered. For these numbers, an approach based on their representation using sequences of polynomials is developed. Based on this approach, for these numbers some identities generalizing the known identities are constructed.
openaire   +2 more sources