Results 21 to 30 of about 2,351,214 (309)
New Recurrence Relations and Matrix Equations for Arithmetic Functions Generated by Lambert Series [PDF]
, 2017 We consider relations between the pairs of sequences, $(f, g_f)$, generated by Lambert series expansions, $L_f(q) = \sum_{n \geq 1} f(n) q^n / (1-q^n)$, in $q$. In particular, we prove new forms of recurrence relations and matrix equations defining these
M. Schmidt
semanticscholar +1 more source
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
semanticscholar +1 more source
Solving Lauricella string scattering amplitudes through recurrence relations [PDF]
, 2017 A bstractWe show that there exist infinite number of recurrence relations valid for all energies among the open bosonic string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA.
Sheng-Hong Lai +3 more
semanticscholar +1 more source
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
doaj +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source
Recent Advances in the Calculation of Dynamical Correlation Functions
Frontiers in Physics, 2020 We review various theoretical methods that have been used in recent years to calculate dynamical correlation functions of many-body systems. Time-dependent correlation functions and their associated frequency spectral densities are the quantities of ...
J. Florencio, O. F. de Alcantara Bonfim
doaj +1 more source