Results 11 to 20 of about 39,153 (198)
Jacobian elliptic Kummer surfaces and special function identities [PDF]
Communications in Number Theory and Physics, 2016 We derive formulas for the construction of all inequivalent Jacobian elliptic fibrations on the Kummer surface of two non-isogeneous elliptic curves from extremal rational elliptic surfaces by rational base transformations and quadratic twists.
Griffin, Elise, Malmendier, Andreas
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Dynamical zeta functions and Kummer congruences [PDF]
Acta Arithmetica, 2003 We establish a connection between the coefficients of Artin-Mazur zeta-functions and Kummer congruences. This allows to settle positively the question of the existence of a map T such that the number of fixed points of the n-th iterate of T is equal to ...
de Reyna, J. Arias
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Special function identities from superelliptic Kummer varieties [PDF]
Asian Journal of Mathematics, 2015 We prove that the factorization of Appell's generalized hypergeometric series satisfying the so-called quadric property into a product of two Gauss' hypergeometric functions has a geometric origin: we first construct a generalized Kummer variety as ...
Clingher, Adrian +2 more
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Fuzzy Differential Subordinations Obtained Using a Hypergeometric Integral Operator
Mathematics, 2021 This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. Using the ideas specific to geometric function theory from the field of complex analysis, fuzzy differential ...
Georgia Irina Oros
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The expansion of the confluent hypergeometric function on the positive real axis [PDF]
, 2017 The asymptotic expansion of the Kummer function 1F1(a; b; z) is examined as z → +∞ on the Stokes line arg z = 0. The correct form of the subdominant algebraic contribution is obtained for non-integer a. Numerical results demonstrating the accuracy of the
Paris, R. B.
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Journal of Inequalities and Applications, 2018 In the paper, the authors present some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function via some classical inequalities such as Chebychev’s inequality for synchronous (or asynchronous, respectively ...
Kottakkaran Sooppy Nisar +4 more
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Algorithms, 2022 We collected 20 explicit and stable numerical algorithms for the one-dimensional transient diffusion equation and analytically examined their consistency and convergence properties.
Ádám Nagy +2 more
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Recursion Rules for the Hypergeometric Zeta Functions [PDF]
, 2013 The hypergeometric zeta function is defined in terms of the zeros of the Kummer function M(a, a + b; z). It is established that this function is an entire function of order 1.
Byrnes, Alyssa +3 more
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Approximation of Analytic Functions by Kummer Functions [PDF]
Journal of Inequalities and Applications, 2010 In this interesting paper, the solution of the inhomogeneous Kummer differential equation, namely, the equation of the form \[ xy''+(\beta-x)y'-\alpha y=\sum_{m=0}^{\infty}a_mx^m, \] is given in terms of a series. The author applies this result to the proof of a local Hyers-Ulam stability of the Kummer differential equation in a special class of ...
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Gram Polynomials and the Kummer Function
Journal of Approximation Theory, 1998 In this interesting paper, the authors investigate the Gram polynomials and deduce a sharp inequality for the Kummer function. Let \(m\geq 1\), and let \(x_j:= -1+{2j-1 \over m}\), \(1\leq j\leq m\) denote \(m\) equally spaced points in \((-1,1)\). Define the discrete inner product \((g,h):= {1\over m} \sum^m_{j=1} g(x_j) h(x_j)\).
Barnard, R.W +4 more
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