Results 31 to 40 of about 57,853 (286)
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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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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A dimensionally continued Poisson summation formula
, 2011 We generalize the standard Poisson summation formula for lattices so that it operates on the level of theta series, allowing us to introduce noninteger dimension parameters (using the dimensionally continued Fourier transform).
A. Córdoba +39 more
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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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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
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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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Further Closed Formulae of Exotic 3F2-Series
Axioms, 2023 By making use of the linearization method, we examine a class of nonterminating 3F2-series with five free integer parameters that yields twenty summation formulae.
Wenchang Chu
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A simple proof of Bailey's very-well-poised 6-psi-6 summation
, 2000 We give elementary derivations of some classical summation formulae for bilateral (basic) hypergeometric series. In particular, we apply Gauss' 2-F-1 summation and elementary series manipulations to give a simple proof of Dougall's 2-H-2 summation ...
Schlosser, M.
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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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Closed-form evaluation of 2D static lattice sums
, 2016 In the present paper, employing properties of the complete elliptic integrals of the first and second kind, we deduce closed-form formulae for the lattice sums and other new formulae.
Drygas, Piotr +2 more
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