Results 11 to 20 of about 145 (142)
Identities for Catalan’s Constant Arising from Integrals Depending on a Parameter [PDF]
, 2020 In this paper we provide some relationships between Catalan’s constant and the 3F2 and 4F3 hypergeometric functions, deriving them from some parametric integrals.
Gambini A., Ferretti F., Ritelli D.
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Infinite Sum of the Incomplete Gamma Function Expressed in Terms of the Hurwitz Zeta Function
Mathematics, 2021 We apply our simultaneous contour integral method to an infinite sum in Prudnikov et al. and use it to derive the infinite sum of the Incomplete gamma function in terms of the Hurwitz zeta function.
Robert Reynolds, Allan Stauffer
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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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, 2021 The article contains an analysis of the historical development of Catalan nationalism, its evolution from the early Middle Ages to modern times. It points to the key role of social movements in the political process of protecting the Catalan identity ...
Chmura, Sylwia
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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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A Certain Series Associated with Catalan’s Constant
, 2018 Computer Science ...
Victor S. Adamchik (5409170)
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Some continued fractions for π and G
, 2017 © 2017, The Indian National Science Academy. We present here two classes of infinite series and the associated continued fractions involving π and Catalan’s constant based on the work of Euler and Ramanujan.
Levrie, Paul, Nimbran, Amrik
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Advanced Materials, EarlyView.The Y supersaturation in the [Ba‐Cu(I/II)‐O] transient liquid composition is the driving force toward YBCO nucleation and growth in TLAG. Tuning the initial (Ba:Cu) molar ratio in the ink composition determines the YBCO epitaxial nucleation through supersaturation control.
Lavinia Saltarelli +12 more
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