Browsing İİSBF - İKT Makale Koleksiyonu by Title
Now showing items 94-113 of 193
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Lacunary generating functions of hybrid type polynomials in viewpoint of symbolic approach
(TECH SCIENCE PRESS, 2022)In this paper, we introduce mon-symbolic method to obtain the generating functions of the hybrid class of Hermite-associated Laguerre and its associated polynomials. We obtain the series definitions of these hybrid special ... -
Lacunary statistical convergence of Bernstein operator sequences
(INST ADVANCED SCIENCE EXTENSION, 2017-11)The Bernstein operator is one of the important topics of approximation theory in which it has been studied in great details for a long time. Recently the statistical convergence of Bernstein operators was studied. In this ... -
Laguerre-based Hermite-Bernoulli polynomials associated with bilateral series
(TBILISI CENTRE MATH SCI, 2018-06)In the paper, we define Laguerre-based Hermite-Bernoulli polynomial with its generating function, and investigate certain properties. From this generating function, we derive summation formulas and related bilateral series ... -
lambda-STATISTICAL CONVERGENCE OF BERNSTEIN POLYNOMIAL SEQUENCES
(MILI PUBL, 2017-01)The Bernstein operator is one of the important topics of approximation theory in which it has been studied in great details for a long time. The aim of this paper is to study the lambda-statistical convergence of sequence ... -
Linking of Bernstein-Chlodowsky and Szasz-Appell-Kantorovich type operators
(INT SCIENTIFIC RESEARCH PUBLICATIONS, 2017)In the present paper, we define a sequence of bivariate operators by linking the Bernstein-Chlodowsky operators and the Szasz-Kantorovich operators based on Appell polynomials. First, we establish the moments of the operators ... -
Modified laplace transform and its properties
(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 ... -
Modified Stancu operators based on inverse Polya Eggenberger distribution
(SPRINGER INTERNATIONAL PUBLISHING AG, 2017-03-06)In this paper, we construct a sequence of modified Stancu-Baskakov operators for a real valued function bounded on [0, infinity), based on a function tau (x). This function tau (x) is infinite times continuously differentiable ... -
Multifarious implicit summation formulae of Hermite-based poly-Daehee polynomials
(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 approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays
(Elsevier Inc., 2020-03-15)The significance of multi-variable special polynomials has been identified both in mathematical and applied frameworks. The article aims to focus on a new class of 3-variable Legendre-truncated-exponential-based Sheffer ... -
A new class of Appell-type Changhee-Euler polynomials and related properties
(AMER INST MATHEMATICAL SCIENCES-AIMS, 2021)A remarkably large number of polynomials and their extensions have been presented and studied. In the present paper, we introduce the new type of generating function of Appelltype Changhee-Euler polynomials by combining ... -
A New Class of Hermite-Apostol Type Frobenius-Euler Polynomials and Its Applications
(MDPI, 2018-11)The article is written with the objectives to introduce a multi-variable hybrid class, namely the Hermite-Apostol-type Frobenius-Euler polynomials, and to characterize their properties via different generating function ... -
A new class of Laguerre-based Apostol type polynomials
(TAYLOR & FRANCIS AS, 2016)In this paper, we introduce a generating function for a new generalization of Laguerre-based Apostol-Bernoulli polynomials, Apostol-Euler and Apostol-Genocchi polynomials. By making use of the generating function method ... -
A new class of ordınary generatıng functıons for bınary products of mersenne numbers and gaussıan numbers wıth parameters p and q
(Colgate University, 2023)In this paper, we derive some new generating functions for the products of several special numbers including (p, q)-Fibonacci numbers, (p, q)-modified Pell numbers, and (p, q)-Jacobsthal Lucas numbers. We also give some ... -
A new class of partially degenerate Hermite-Genocchi polynomials
(2017)In this paper, firstly we introduce not only partially degenerate Hermite-Genocchi polynomials, but also a new generalization of degenerate Hermite-Genocchi polynomials. Secondly, we investigate some behaviors of these ... -
New construction of type 2 degenerate central Fubini polynomials with their certain properties
(Springer Science and Business Media Deutschland GmbH, 1 December)Kim et al. (Proc. Jangjeon Math. Soc. 21(4):589–598, 2018) have studied the central Fubini polynomials associated with central factorial numbers of the second kind. Motivated by their work, we introduce degenerate version ... -
A new extension of Srivastava's triple hypergeometric functions and their associated properties
(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. ... -
A new generalization of Apostol type Hermite-Genocchi polynomials and its applications
(SPRINGER INTERNATIONAL PUBLISHING AG, 2016-06-24)By using the modified Milne-Thomson's polynomial given in Araci et al. (Appl Math Inf Sci 8(6):2803-2808, 2014), we introduce a new concept of the Apostol Hermite-Genocchi polynomials. We also perform a further investigation ... -
A new structure of an integral operator associated with trigonometric Dunkl settings
(SPRINGER, JUL 16 202)In this paper, we discuss a generalization to the Cherednik-Opdam integral operator to an abstract space of Boehmians. We introduce sets of Boehmians and establish delta sequences and certain class of convolution products. ... -
A new symmetric endomorphism operator for some generalizations of certain generating functions
(BULGARIAN ACAD SCIENCE, 2018)In this article, we introduce new symmetric endomorphism operators by making use of appropriate infinite product series. The main results show that after direct calculations, the proposed operators are qualified to obtain ... -
New Symmetric Identities Involving q-Zeta Type Functions
(NATURAL SCIENCES PUBLISHING CORP-NSP, 2014-11)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. ...
