Results 41 to 50 of about 7,643 (187)

Finite and Infinite Sums Involving Reciprocals of Products of Gibonacci Numbers

We prove many identities involving sums with products of Gibonacci numbers in the denominator. Three of our results provide generalizations of problems published in The Fibonacci Quarterly. We also study Brousseau sums with Gibonacci entries.
Kunle Adegoke, Robert Frontczak, Karol Gryszka   +2 more
openalex   +3 more sources

‘SUM-PRODUCT ESTIMATES AND MULTIPLICATIVE ORDERS OF AND IN FINITE FIELDS’ [PDF]

Bulletin of the Australian Mathematical Society, 2013
Igor E. Shparlinski
openalex   +3 more sources

Extended Wang sum and associated products.

PLoS ONE, 2022
The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
doaj   +1 more source

Monochromatic products and sums in the rationals [PDF]

Forum of Mathematics, Pi, 2022
We show that every finite coloring of the rationals contains monochromatic sets of the form $\{x,y,xy,x+y\}$ .
Matt Bowen, Marcin Sabok
semanticscholar   +1 more source

The Equivalence of the Charge Interaction Sum and the Ionic Strength

Chemical Thermodynamics and Thermal Analysis, 2022
The electrostatic interaction among a neutral and finite set of point charges is based on the sum of their pairwise charge products, zizj, yet many analyses yield terms which simply contain a sum of the squares of the separate charges, corresponding to ...
Leslie Glasser
doaj   +1 more source

Infinite Series and Logarithmic Integrals Associated to Differentiation with Respect to Parameters of the Whittaker M_κ,μ(x) Function I

Axioms, 2023
In this paper, first derivatives of the Whittaker function Mκ,μx are calculated with respect to the parameters. Using the confluent hypergeometric function, these derivarives can be expressed as infinite sums of quotients of the digamma and gamma ...
Alexander Apelblat, Juan Luis González-Santander   +1 more
doaj   +1 more source

New reciprocal sums involving finite products of second order recursions [PDF]

Miskolc Mathematical Notes, 2019
In this paper, we present new kinds of reciprocal sums of finite products of general second order linear recurrences. In order to evaluate explicitly them by $q$-calculus, first we convert them into their $q$-notation and then use the methods of partial fraction decomposition and creative telescoping.
Kilic, Emrah, Ersanli, Didem
openaire   +3 more sources

Fourier Series for Functions Related to Chebyshev Polynomials of the First Kind and Lucas Polynomials

Mathematics, 2018
In this paper, we derive Fourier series expansions for functions related to sums of finite products of Chebyshev polynomials of the first kind and of Lucas polynomials. From the Fourier series expansions, we are able to express those two kinds of sums of
Taekyun Kim, Dae San Kim, Lee-Chae Jang, Gwan-Woo Jang   +3 more
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Julius Kruopis – the pioneer of applied statistics in Lithuania

Lithuanian Journal of Statistics, 2023
Julius Kruopis was born on 21.02.1941 in Utena district. In 1963 he graduated from Vilnius University,  Faculty of Physics and Mathematics. In 1964–1966 he worked as a  trainee lecturer at the Department of Probability Theory and Number Theory of the ...
Vilijandas Bagdonavičius, Vydas Čekanavičius, Rūta Levulienė, Pranas Vaitkus   +3 more
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Taylor’s series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series representations for real powers of Pi

Demonstratio Mathematica, 2022
In this article, by virtue of expansions of two finite products of finitely many square sums, with the aid of series expansions of composite functions of (hyperbolic) sine and cosine functions with inverse sine and cosine functions, and in the light of ...
Qi Feng
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