Results 1 to 10 of about 159 (69)
Generating functions for generalized Stirling type numbers, Array type polynomials, Eulerian type polynomials and their applications [PDF]
Fixed Point Theory and Applications, 2011 The first aim of this paper is to construct new generating functions for the generalized λ-Stirling type numbers of the second kind, generalized array type polynomials and generalized Eulerian type polynomials and numbers.
Y. Şimşek
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Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions [PDF]
Fixed Point Theory and Applications, 2011 The main aim of this paper is to provide a novel approach to deriving identities for the Bernstein polynomials using functional equations. We derive various functional equations and differential equations using generating functions.
Y. Şimşek
semanticscholar +2 more sources
On the Zeros of Polynomials with Restricted Coefficients
Annales Mathematicae Silesianae, 2023 Let P(z)=∑j=0najzjP\left( z \right) = \sum\nolimits_{j = 0}^n {{a_j}{z^j}} be a polynomial of degree n such that an ≥ an−1 ≥ . . . ≥ a1 ≥ a0 ≥ 0. Then according to Eneström-Kakeya theorem all the zeros of P (z) lie in |z| ≤ 1.
Zargar B. A., Gulzar M. H., Ali M.
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A Cauchy-type generalization of Flett's theorem
Demonstratio Mathematica, 2021 We prove a Cauchy-type generalization of Flett’s theorem and note its geometric interpretations. Several other mean value theorems extending further the result, which involve both real and complex functions, are also proved.
Markov Lubomir
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Concrete Operators, 2022 In this article we continue our investigation of the Paatero space. We prove that the intersection of every Paatero class V(k) with every Hardy space Hp is closed in that Hp and associate singular continuous measures to elements of V(k).
Andreev Valentin V. +2 more
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More on zeros and approximation of the Ising partition function
Forum of Mathematics, Sigma, 2021 We consider the problem of computing the partition function $\sum _x e^{f(x)}$ , where $f: \{-1, 1\}^n \longrightarrow {\mathbb R}$ is a quadratic or cubic polynomial on the Boolean cube $\{-1, 1\}^n$ .
Alexander Barvinok, Nicholas Barvinok
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Starlike and convexity properties of q-Bessel-Struve functions
Demonstratio Mathematica, 2022 This paper introduces three different normalization associated with the second and third q-Bessel-Struve functions. We use Hadamard factorizations to determine the radii of starlike and convexity of these functions.
Oraby Karima M., Mansour Zeinab S. I.
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Results in Physics, 2021 In this paper, the sub-equation method is used to obtain new types of complex traveling wave solutions of the time-fractional Burgers-Fisher equation. In this work is to compare the exact complex traveling wave solutions of new types and the numerical ...
Asıf Yokus +4 more
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Generalization of Eneström-Kakeya theorem and its extension to analytic functions
Journal of Classical Analysis, 2020 In this paper, by using standard techniques we shall obtain a result that gives regions containing all the zeros of a polynomial with real coefficients.
N. A. Rather, Ishfaq Dar, A. Iqbal
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Remarks to a theorem of Sinclair and Vaaler
, 2020 Sinclair and Vaaler in [6] Theorem 1.2 found sufficient conditions, nonlinear in the coefficients depending on a parameter p 1 , for self-inversive polynomials to have all their zeros on the unit circle.
L. Losonczi
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