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Extensions of the Poisson Summation Formula
Journal of Mathematical Analysis and Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Durán, A.L, Estrada, R, Kanwal, R.P
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On the Mean Values of Certain Character Sums
Abstract and Applied Analysis, 2013 Let q≥5 be an odd number. In this paper, we study the fourth power mean of certain character sums ∑χmodq,χ-1=-1*∑1≤a≤q/4aχa4 and ∑χmodq,χ-1=1*∑1≤a≤q/4aχa4, where ∑* denotes the summation over primitive characters modulo q, and give some asymptotic ...
Zhefeng Xu, Huaning Liu
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Nested (inverse) binomial sums and new iterated integrals for massive Feynman diagrams [PDF]
, 2014 Nested sums containing binomial coefficients occur in the computation of massive operator matrix elements. Their associated iterated integrals lead to alphabets including radicals, for which we determined a suitable basis.
Ablinger, Jakob +3 more
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Demonstratio Mathematica, 2022 Abstract In this note, we derive a finite summation formula and an infinite summation formula involving Harmonic numbers of order up to some order by means of several definite integrals.
Kim Taekyun +3 more
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Mechanical Engineering Journal, 2020 This paper describes the effect of local plastic component on J-integral and crack opening displacement (COD) evaluation of a circumferential penetrated crack, applicable to the leak before break (LBB) assessment for sodium cooled fast reactor (SFR ...
Hideo MACHIDA +2 more
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Molecular Oncology, EarlyView.This work identified serum proteins associated with pancreatic epithelial neoplasms (PanINs) and early‐stage PDAC. Proteomics screens assessed genetically engineered mice with abundant PanINs, KPC mice (Lox‐STOP‐Lox‐KrasG12D/+ Lox‐STOP‐Lox‐Trp53R172H/+ Pdx1‐Cre) before PDAC development and also early‐stage PDAC patients (n = 31), compared to benign ...
Hannah Mearns +10 more
wiley +1 more source
Mathematics, 2022 Fractional Galilei invariant advection–diffusion (GIADE) equation, along with its more general version that is the GIADE equation with nonlinear source term, is discretized by coupling weighted and shifted Grünwald difference approximation formulae and ...
Farzaneh Safari +3 more
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\pi and other formulae implied by hypergeometric summation theorems [PDF]
, 2012 By employing certain extended classical summation theorems, several surprising \pi and other formulae are ...
Kim, Yong Sup +2 more
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Elementary derivations of identities for bilateral basic hypergeometric series
, 2000 We give elementary derivations of several classical and some new summation and transformation formulae for bilateral basic hypergeometric series. For purpose of motivation, we review our previous simple proof ("A simple proof of Bailey's very-well-poised
Schlosser, M.
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