Results 91 to 100 of about 233,365 (231)

Difference Equation for Modifications of Meixner Polynomials

Journal of Mathematical Analysis and Applications, 1995
The authors study the properties of the generalized Meixner polynomials \(M^{\gamma, \mu, A}_n(x)\). These ones are orthogonal with respect to the linear functional \(U\) on the space of polynomials with real coefficients, \[ \langle U, P\rangle= \sum_{x\in \mathbb{N}} {\mu^x \Gamma(\gamma+ x)\over \Gamma(\gamma) \Gamma(1+ x)} P(x)+ AP(0),\quad x\in ...
Renato Alvarez-Nodarse, Francisco Marcellán   +1 more
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A Difference Property for Polynomials and Exponential Polynomials on Abelian Locally Compact Groups [PDF]

, 1965
F. W. Carroll
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Value distribution of difference polynomials of meromorphic functions

Electronic Journal of Differential Equations, 2013
In this article, we study the value distribution of difference polynomials of meromorphic functions, and obtain some results which can be viewed as discrete analogues of the results given by Yi and Yang [11].
Yong Liu, Xiaoguang Qi, Hongxun Yi
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Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials

Applied Mathematics in Science and Engineering
This article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the ...
Subuhi Khan, Hassan Ali, Mohammed Fadel
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The zeros on complex differential-difference polynomials of certain types

Advances in Difference Equations, 2018
In this paper, we consider the zeros distribution of f(z)P(z,f)−q(z) $f(z)P(z,f) -q(z)$, where P(z,f) $P(z,f)$ is a linear differential-difference polynomial of a finite-order transcendental entire function f(z) $f(z)$, and q(z) $q(z)$ is a nonzero ...
Changjiang Song, Kai Liu, Lei Ma
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Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials

Mathematics
In this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers,
Maryam Salem Alatawi, Waseem Ahmad Khan, Can Kızılateş, Cheon Seoung Ryoo   +3 more
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Linear Difference Equations and Exponential Polynomials [PDF]

Transactions of the American Mathematical Society, 1948
In Theorem 2, equation (1) is studied under the assumptions that k(x) is analytic in a sector S (3): I arg x I
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An extension to rational functions of a theorem of J. L. Walsh on differences of interpolating polynomials [PDF]

, 1981
Edward B. Saff, A. Sharma, R. S. Varga
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On the Differential-Difference Properties of the Extended Jacobi Polynomials [PDF]

, 1985
Stanisław Lewanowicz
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Bernoulli Polynomials in Several Variables and Summation of Monomials over Lattice Points of a Rational Parallelotope

Известия Иркутского государственного университета: Серия "Математика", 2016
The Bernoulli polynomials for natural x were first considered by J.Berno\-ulli (1713) in connection with the problem of summation of the powers of consecutive positive integers. For arbitrary $x$ these polynomials were studied by L.Euler.
O. Shishkina
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