Results 61 to 70 of about 56,955 (119)

Combinatorial identities associated with new families of the numbers and polynomials and their approximation values

, 2017
Recently, the numbers $Y_{n}(\lambda )$ and the polynomials $Y_{n}(x,\lambda)$ have been introduced by the second author [22]. The purpose of this paper is to construct higher-order of these numbers and polynomials with their generating functions.
Kucukoglu, Irem, Simsek, Yilmaz
core  

Identities on the k-ary Lyndon words related to a family of zeta functions

, 2016
The main aim of this paper is to investigate and introduce relations between the numbers of k-ary Lyndon words and unified zeta-type functions which was defined by Ozden et al [15, p. 2785].
Kucukoglu, Irem, Simsek, Yilmaz
core  

Generating Functions for q-Apostol Type Frobenius–Euler Numbers and Polynomials [PDF]

Axioms, 2012
The aim of this paper is to construct generating functions, related to nonnegative real parameters, for q-Eulerian type polynomials and numbers (or q-Apostol type Frobenius–Euler polynomials and numbers). We derive some identities for these polynomials and numbers based on the generating functions and functional equations.
openaire   +3 more sources

Some new formulas for the products of the Apostol type polynomials

, 2016
In the year 2014, Kim et al. computed a kind of new sums of the products of an arbitrary number of the classical Bernoulli and Euler polynomials by using the Euler basis for the vector space of polynomials of bounded degree.
Yuan He, S. Araci, HM Srivastava
semanticscholar   +1 more source

Integral Transforms and Extended Hermite-Apostol Type Frobenius-Genocchi Polynomials

Kragujevac Journal of Mathematics
The schemata for applications of the integral transforms of mathematical physics to recurrence relations, differential, integral, integro-differential equations and in the theory of special functions has been developed. The article aims to introduce and present operational representations for a new class of extended Hermite-Apostol type Frobenius ...
Wani, Shahid Ahmad, Riyasat, Mumtaz
openaire   +2 more sources

Regression-type analysis for multivariate extreme values. [PDF]

Extremes (Boston), 2022
de Carvalho M, Kumukova A, Dos Reis G.
europepmc   +1 more source

Some unified formulas and representations for the Apostol-type polynomials

, 2015
Recently, a family of the Apostol-type polynomials was introduced by Luo and Srivastava (Appl. Math. Comput. 217:5702-5728 (2011)). In this paper, we further investigate the Apostol-type polynomials and obtain their unified multiplication formula and ...
Da-qian Lu, Qiu-Ming Luo
semanticscholar   +1 more source

Formulas for p-adic q-integrals including falling-rising factorials, combinatorial sums and special numbers

, 2017
The main purpose of this paper is to provide a novel approach to deriving formulas for the p-adic q-integral including the Volkenborn integral and the p-adic fermionic integral.
Simsek, Yilmaz
core  

New Extension of Unified Family Apostol-Type of Polynomials and Numbers

Applied Mathematics, 2015
The purpose of this paper is to introduce and investigate a new unification of unified family of Apostol-type polynomials and numbers based on results given in [24] and [25]. Also, we derive some properties for these polynomials and obtain some relationships between the Jacobi polynomials, Laguerre polynomials, Hermite polynomials, Stirling numbers and
El-Desouky, B. S., Gomaa, R. S.
openaire   +3 more sources

A generalization of Apostol type of Hermite-Genocchi polynomials

, 2017
The main purpose of this paper is to introduce and investigate the various properties of a new generalization of Apostol Hermite-Genocchi polynomials. We derive many useful results involving new generalized Apostol Hermite-Genocchi polynomials. We also consider some statistical application of the new family in probability distribution theory and ...
El-Desouky, Beih S., Gomaa, Rabab S., Magar, Alia M.   +2 more
openaire   +2 more sources