Results 31 to 40 of about 117,044 (300)
Properties of Multivariate Hermite Polynomials in Correlation with Frobenius–Euler Polynomials
Mathematics, 2023 A comprehensive framework has been developed to apply the monomiality principle from mathematical physics to various mathematical concepts from special functions.
Mohra Zayed +2 more
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A generalisation of the summation formula of Plana [PDF]
Bulletin of the Australian Mathematical Society, 1999 An extension of the classical summation formula of Plana is obtained. The extension is obtained by using the zeros of a Bessel function of the first kind.
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Voronoï Summation for Half-Integral Weight Automorphic Forms [PDF]
, 2021 A general Voronoï summation formula for the (metaplectic) double cover of GL2 is derived via the representation theoretic framework à la Ichino–Templier.
A Corbett (9892307), E Assing (21927080)
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Evaluation of Infinite Series by Integrals
Mathematics, 2022 We examine a large class of infinite triple series and establish a general summation formula. This is done by expressing the triple series in terms of definite integrals involving arctangent function that are evaluated in turn in closed forms.
Chunli Li, Wenchang Chu
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Dualizing the Poisson summation formula.
Proceedings of the National Academy of Sciences, 1991 If f(x) and g(x) are a Fourier cosine transform pair, then the Poisson summation formula can be written as 2sumfrominfinityn = 1g(n) + g(0) = 2sumfrominfinityn = 1f(n) + f(0). The concepts of linear transformation theory lead to the following dual of this classical relation. Let phi(x) and gamma(x) = phi(1/x)/x have absolutely convergent integrals over
Duffin, Richard J., Weinberger, Hans F.
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Partial Sums of Two Quartic q-Series
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several summation and transformation formulae are consequently established.
Wenchang Chu, Chenying Wang
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Mathematical and Computer Modelling of Dynamical SystemsThis study introduces a new approach to the development of generalized 1-parameter, 2-variable Hermite–Frobenius–Euler polynomials, which are characterized by their generating functions, series definitions and summation formulae.
Mohra Zayed +3 more
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A New Old Babylonian Date List with Hammurapi Year Names
Dirāsāt fī al-tārīẖ wa-al-āṯār, 2023 This paper contains the publication of a previously unknown date list of Hammurapi, the king of Babylon, with his year formulae, kept in the Sulaymaniyah Museum in Iraq. The tablet originally contained the year formulae for 42 years of Hammurapi's reign
Ardalan Khwshnaw
doaj
Approach of $q$-Derivative Operators to Terminating $q$-Series Formulae [PDF]
, 2018 summary:The $q$-derivative operator approach is illustrated by reviewing several typical summation formulae of terminating basic hypergeometric ...
Wang, Xiaoyuan, Chu, Wenchang
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Why does the sign problem occur in evaluating the overlap of HFB wave functions?
Physics Letters B, 2018 For the overlap matrix element between Hartree–Fock–Bogoliubov states, there are two analytically different formulae: one with the square root of the determinant (the Onishi formula) and the other with the Pfaffian (Robledo's Pfaffian formula).
Takahiro Mizusaki +2 more
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