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On some new Gaussian hypergeometric summation formulae with applications

Quaestiones Mathematicae, 2021
The aim of this note is to provide some new Gaussian hypergeometric summation formulae. These are further used to obtain certain new  expressions for the product of hypergeometric series.
Tibor K Pogány, Arjun K Rathie
exaly   +1 more source

Implicit summation formulae for Hermite and related polynomials

Journal of Mathematical Analysis and Applications, 2008
In this article, we derive some implicit summation formulae for Hermite and related polynomials by using different analytical means on their respective generating ...
Subuhi Khan, Ghazala Yasmin
exaly   +2 more sources

A note on generating functions and summation formulae for Meixner polynomials of several variables

Demonstratio Mathematica, 2012
The present paper deals with certain generating functions and various elegant summation formulae for Meixner polynomials of several variables.
Mumtaz Ahmad Khan
exaly   +2 more sources

Summation formulae for finite tangent and secant sums

Applied Mathematics and Computation, 2011
In a series of papers [6-10] it has been shown that nine remarkably general families of the finite trigonometric sums could be summed in closed form by making use of the calculus of residues and choosing a particularly convenient integration contour.
Djurdje Cvijovic
exaly   +2 more sources

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Summation formulae

2005
exaly   +2 more sources

LATTICE-POINT SUMMATION FORMULAE

The Quarterly Journal of Mathematics, 1931
En appliquant la fonction de \( x \) \[ \begin{array}{c} \frac{1}{\Gamma(\alpha)} \sum_ ...
Dixon, A. L., Ferrar, W. L.
openaire   +1 more source

Best Summation Formulae and Discrete Splines

SIAM Journal on Numerical Analysis, 1973
The problem of obtaining a best summation formula for a finite sequence of real numbers in terms of a fixed number of terms of the sequence is reduced to a solvable linear or quadratic programming problem. This is done by developing the appropriate discrete Taylor and Peano theorems.
Mangasarian, O. L., Schumaker, L. L.
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An Euler Summation Formula

The American Mathematical Monthly, 1936
(1936). An Euler Summation Formula. The American Mathematical Monthly: Vol. 43, No. 1, pp. 9-21.
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Some summation formula

Moscow University Mathematics Bulletin, 2011
An analogue of Euler’s summation formula over integer points of an arbitrary interval is obtained in the paper.
openaire   +1 more source

Summation formulas

2023
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