Results 21 to 30 of about 5,146,047 (210)
A Triple Lacunary Generating Function for Hermite Polynomials [PDF]
The Electronic Journal of Combinatorics, 2005 Some of the classical orthogonal polynomials such as Hermite, Laguerre, Charlier, etc. have been shown to be the generating polynomials for certain combinatorial objects. These combinatorial interpretations are used to prove new identities and generating functions involving these polynomials.
Ira M. Gessel, Pallavi Jayawant
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A density theorem with an application to gap power series [PDF]
, 1970 Let N be a set of positive integers and let $F(z)=\Sigma \ A_{n}z^{n}$ be an entire function for which $A_{n}=0\ (n\not\in N)$. It is reasonable to expect that, if D denotes the density of the set N in some sense, then F(z) will behave somewhat similarly
Binmore, K.G., K. G. Binmore
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Whittaker's Constant for Lacunary Entire Functions [PDF]
Proceedings of the American Mathematical Society, 1963 be an entire function of exponential type r < oo. We are concerned here with two problems which are closely related to the determination of Whittaker's constant, that is to say, with theorems to the effect that if f(z) and each of its derivatives have some zeros in the unit circle then r cannot be too small. DEFINITION 1. The constant Wp is the largest
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Exploration of Filled-In Julia Sets Arising from Centered Polygonal Lacunary Functions
Fractal and Fractional, 2019 Centered polygonal lacunary functions are a particular type of lacunary function that exhibit properties which set them apart from other lacunary functions. Primarily, centered polygonal lacunary functions have true rotational symmetry.
L.K. Mork +4 more
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Kolyada inequality for partial moduli of smoothness of functions with lacunary Fourier coefficients [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022 The problem of estimating the moduli of smoothness of functions from $L_q$ in terms of moduli of smoothness from $L_p$ is well known. The initial stage in estimating the moduli of smoothness was the study of properties of functions from ...
Simonov, Boris V. +2 more
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Lacunary statistical convergence and strongly lacunary summable functions of order α
Filomat, 2017 Summary: The main purpose of this paper is to introduce and investigate the concepts of lacunary strong summability of order \(\alpha\) and lacunary statistical convergence of order \(\alpha\) of real-valued functions which are measurable (in the Lebesgue sense) in the interval \((1, \infty)\). Some relations between lacunary statistical convergence of
Srivastava, H. M., Et, Mikail
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On the uniform theory of lacunary series [PDF]
, 2017 The theory of lacunary series starts with Weierstrass' famous example (1872) of a continuous, nondifferentiable function and now we have a wide and nearly complete theory of lacunary subsequences of classical orthogonal systems, as well as asymptotic ...
Berkes, István, István Berkes
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Minimizing Error Bounds in Lacunary Interpolation by Spline (0, 2) Case [PDF]
Kirkuk Journal of Science, 2009 In this paper, we have changed the boundary conditions and the class of spline functions which are given by (Varma, (1973) from first derivative to third derivative, and show that the change of the boundary conditions and the class of spline functions ...
Karwan H. Jwamer Faridun Kader Hama Salih
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Strongly lacunary delta ward continuity [PDF]
, 2015 International Conference on Advancements in Mathematical Sciences (AMS) -- NOV 05-07, 2015 -- Antalya, TURKEYIn this paper, the concepts of a lacunary statistically delta-quasi-Cauchy sequence and a strongly lacunary delta-quasiCauchy sequence are ...
Huseyin Kaplan +3 more
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Lacunary weak statistical convergence [PDF]
, 2000 summary:The aim of this work is to generalize lacunary statistical convergence to weak lacunary statistical convergence and $\mathcal I$-convergence to weak $\mathcal I$-convergence.
Ganichev, M. +3 more
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