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Information Generating Function of Ranked Set Samples [PDF]
Entropy, 2021 In the present paper, we study the information generating (IG) function and relative information generating (RIG) function measures associated with maximum and minimum ranked set sampling (RSS) schemes with unequal sizes.
Omid Kharazmi +2 more
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A New Generating Function for Hermite Polynomials
International Journal of Mathematics and Mathematical SciencesThis paper presents a new generating function of the form gx,t=∑n=0∞tnHnex for Hermite polynomials and reveals its connection with the incomplete gamma function.
Manouchehr Amiri
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On a generalization of the Rogers generating function [PDF]
Journal of Mathematical Analysis and Applications, 2019 arXiv admin note: text overlap with arXiv:1411 ...
Howard S. Cohl +2 more
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Miscellaneous Properties of Generalized Fubini Polynomials
Communications in Advanced Mathematical Sciences, 2023 This article attempts to present the generalized Fubini polynomials $F_{n}(x,y,z,q)$. The results obtained here include various families of multilinear and multilateral generating functions, various properties, as well as some special cases for these ...
Muhammet Ağca, Nejla Özmen
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Generating generic functions [PDF]
Proceedings of the 2006 ACM SIGPLAN workshop on Generic programming, 2006 We present an approach to the generation of generic functions from user-provided specifications. The specifications consist of the type of a generic function, examples of instances that it should "match" when specialized, and properties that the generic function should satisfy.
Jeuring, J.T. +2 more
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Filter function synthesis by Gegenbauer generating function [PDF]
Serbian Journal of Electrical Engineering, 2006 Low-pass all-pole transfer functions with non-monotonic amplitude characteristic in the pass-band and at least (n -1) flatness conditions for ω = 0 are considered in this paper.
Pavlović Vlastimir D.
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Recurrence relations connecting mock theta functions and restricted partition functions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we provide some recurrence relations connecting restricted partition functions and mock theta functions. Elementary manipulations are used including Jacobi triple product identity, Euler's pentagonal number theorem, and Ramanujan's theta ...
M. Rana, H. Kaur, K. Garg
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Cumulative information generating function and generalized Gini functions
Metrika, 2023 AbstractWe introduce and study the cumulative information generating function, which provides a unifying mathematical tool suitable to deal with classical and fractional entropies based on the cumulative distribution function and on the survival function.
Marco Capaldo +2 more
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On the cardinality of layers in even-valued n-dimensional lattice
Учёные записки Казанского университета: Серия Физико-математические науки, 2022 In this article, we explicitly calculated terms additional to the main one of cardinality asymptotics of central layers in the n-dimensional k-valued lattice Ekn for even k as n → ∞. The main term had been found by V.B.
T.V. Andreeva, Yu.S. Semenov
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ON STOCHASTIC GENERALIZED FUNCTIONS [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2011 In this work we introduce a new algebra of stochastic generalized functions. The regular Hida distributions in [Formula: see text] are embedded in this algebra via their chaos expansions. As an application, we prove the existence and uniqueness of the solution of a stochastic Cauchy problem involving singularities.
Catuogno, Pedro, Olivera, Christian
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