Results 31 to 40 of about 2,496,823 (351)
Recurrence relations for polynomials obtained by arithmetic functions
International Journal of Number Theory, 2019 Families of polynomials associated to arithmetic functions [Formula: see text] are studied. The case [Formula: see text], the divisor sum, dictates the non-vanishing of the Fourier coefficients of powers of the Dedekind eta function.
B. Heim, F. Luca, M. Neuhauser
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Journal of Statistical Theory and Applications (JSTA), 2019 In this article we derive the recurrence relations for the single and product moments based on progressively Type-II right-censored order statistics for the extended exponential (EE) distribution.
Devendra Kumar +3 more
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On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
Annales Mathematicae Silesianae, 2019 The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.
Szynal-Liana Anetta, Włoch Iwona
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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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Recurrence Relations for Wronskian Hermite Polynomials [PDF]
, 2018 We consider polynomials that are defined as Wronskians of certain sets of Hermite polynomials. Our main result is a recurrence relation for these polynomials in terms of those of one or two degrees smaller, which generalizes the well-known three term ...
Niels Bonneux, Marco Stevens
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Recurrence relations and Benford’s law [PDF]
Statistical Methods & Applications, 2020 Version 1.0, 24 pages, 1 ...
Madeleine Farris +4 more
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n-Color partitions with weighted differences equal to minus two
International Journal of Mathematics and Mathematical Sciences, 1997 In this paper we study those n-color partitions of Agarwal and Andrews, 1987, in which each pair of parts has weighted difference equal to −2 Results obtained in this paper for these partitions include several combinatorial identities, recurrence ...
A. K. Agarwal, R. Balasubrananian
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Recurrence Relations of the Multi-Indexed Orthogonal Polynomials IV : closure relations and creation/annihilation operators [PDF]
, 2016 We consider the exactly solvable quantum mechanical systems whose eigenfunctions are described by the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson and Askey-Wilson types.
S. Odake
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On the Accessibility of Newton’s Method under a Hölder Condition on the First Derivative
Algorithms, 2015 We see how we can improve the accessibility of Newton’s method for approximating a solution of a nonlinear equation in Banach spaces when a center Hölder condition on the first derivative is used to prove its semi-local convergence.
José Antonio Ezquerro +1 more
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Optics Express, 2018 For some time it has been known and recommended that the calculation of Zernike polynomials to radial orders higher than 8 to 10 should be performed using recurrence relations rather than explicit expressions due increasingly large cancellation errors ...
Torben Brender Andersen
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