Summation of some infinite series by the methods of Hypergeometric functions and partial fractions
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this article we obtain the summations of some infinite series by partial fraction method and by using certain hypergeometric summation theorems of positive and negative unit arguments, Riemann Zeta functions, polygamma functions, lower case beta ...
M.I. Qureshi, J. Majid, A.H. Bhat
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A Series Representation for the Hurwitz–Lerch Zeta Function
Axioms, 2021 We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
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The computation of previously inaccessible digits of π2 and Catalan's constant [PDF]
, 2013 We recently concluded a very large mathematical calculation, uncovering objects that until recently were widely considered to be forever inaccessible to computation. Our computations stem from the “BBP” formula for π, which was discovered in 1997 using a
Bailey, DH +3 more
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Boundary control of a singular reaction-diffusion equation on a disk [PDF]
, 2016 Recently, the problem of boundary stabilization for unstable linear constant-coefficient reaction-diffusion equation on N-balls has been solved by means of the backstepping method.
Krstic, Miroslav, Vazquez, Rafael
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Euler Sums and Integral Connections
Mathematics, 2019 In this paper, we present some Euler-like sums involving partial sums of the harmonic and odd harmonic series. First, we give a brief historical account of Euler’s work on the subject followed by notations used in the body of the paper.
Anthony Sofo, Amrik Singh Nimbran
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Dual Taylor Series, Spline Based Function and Integral Approximation and Applications
Mathematical and Computational Applications, 2019 In this paper, function approximation is utilized to establish functional series approximations to integrals. The starting point is the definition of a dual Taylor series, which is a natural extension of a Taylor series, and spline based series ...
Roy M. Howard
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Two-loop corrections to partition function of Pohlmeyer-reduced theory for AdS_5 x S^5 superstring
, 2011 Pohlmeyer reduction of AdS_5 x S^5 superstring leads to a set of equations of motion following from an action containing a bosonic Sp(2,2) x Sp(4)/[SU(2)]^4 gauged WZW term, an integrable potential and a fermionic part coupling bosons from the two ...
Iwashita, Y. +2 more
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Exploring Explicit Definite Integral Formulae with Trigonometric and Hyperbolic Functions
AxiomsMaking use of integration by parts and variable replacement methods, we derive some interesting explicit definite integral formulae involving trigonometric or hyperbolic functions, whose results are expressed in terms of Catalan’s constant, Dirichlet’s ...
Yulei Chen, Dongwei Guo
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Mechanically Activated Luminescence in Polyurethanes Incorporating Calixarene Mechanophores
Angewandte Chemie, EarlyView.The conformational flexibility of a calix[4]arene is exploited to obtain a reversible mechanoluminophore featuring a pyrene excimer couple at the upper rim. Stretching a linear polyurethane incorporating such mechanophore results in luminescence color change from yellow–green to blue, consistent with a force‐induced conformational motion of the ...
Lucia Visieri +3 more
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The minimal volume orientable hyperbolic 2-cusped 3-manifolds
, 2010 We prove that the Whitehead link complement and the (-2, 3, 8) pretzel link complement are the minimal volume orientable hyperbolic 3-manifolds with two cusps, with volume 3.66... = 4 x Catalan's constant.
Agol, Ian
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