Results 51 to 60 of about 1,405 (108)
On Certain Properties of Parametric Kinds of Apostol-Type Frobenius–Euler–Fibonacci Polynomials
AxiomsThis paper presents an overview of cosine and sine Apostol-type Frobenius–Euler–Fibonacci polynomials, as well as several identities that are associated with these polynomials.
Hao Guan +3 more
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On the Generalized Class of Multivariable Humbert‐Type Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The present paper deals with the class of multivariable Humbert polynomials having generalization of some well‐known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović‐Djordjević, Horadam, Horadam‐Pethe, Pathan and Khan, a class of generalized Humbert polynomials in two variables etc.
B. B. Jaimini +4 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 47, Issue 11, Page 9169-9179, 30 July 2024.Although it is very easy to calculate the 1st moment and 2nd moment values of the geometric distribution with the methods available in existing books and other articles, it is quite difficult to calculate moment values larger than the 3rd order. Because in order to find these moment values, many higher order derivatives of the geometric series and ...
Buket Simsek
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Mathematics, 2019 In this paper, we introduce the two-variable truncated Fubini polynomials and numbers and then investigate many relations and formulas for these polynomials and numbers, including summation formulas, recurrence relations, and the derivative property.
Ugur Duran, Mehmet Acikgoz
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Relations for Bernoulli--Barnes Numbers and Barnes Zeta Functions
, 2013 The \emph{Barnes $\zeta$-function} is \[ \zeta_n (z, x; \a) := \sum_{\m \in \Z_{\ge 0}^n} \frac{1}{\left(x + m_1 a_1 + \dots + m_n a_n \right)^z} \] defined for $\Re(x) > 0$ and $\Re(z) > n$ and continued meromorphically to $\C$.
Bayad, Abdelmejid, Beck, Matthias
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On Multiple Interpolation Functions of the Nörlund‐Type q‐Euler Polynomials
Abstract and Applied Analysis, Volume 2009, Issue 1, 2009., 2009 In (2006) and (2009), Kim defined new generating functions of the Genocchi, Nörlund‐type q‐Euler polynomials and their interpolation functions. In this paper, we give another definition of the multiple Hurwitz type q‐zeta function. This function interpolates Nörlund‐type q‐Euler polynomials at negative integers.
Mehmet Acikgoz +2 more
wiley +1 more source
Truncated-exponential-based Frobenius–Euler polynomials
Advances in Difference Equations, 2019 In this paper, we first introduce a new family of polynomials, which are called the truncated-exponential based Frobenius–Euler polynomials, based upon an exponential generating function.
Wiyada Kumam +4 more
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Journal of Inequalities and Applications, 2019 The main purpose and motivation of this work is to investigate and provide some new identities, inequalities and relations for combinatorial numbers and polynomials, and for Peters type polynomials with the help of their generating functions. The results
Yilmaz Simsek, Ji Suk So
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Demonstratio MathematicaThe study of special functions has become an enthralling area in mathematics because of its properties and wide range of applications that are relevant into other fields of knowledge.
Corcino Cristina B. +2 more
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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 +3 more
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