Results 41 to 50 of about 27,853 (183)
On zeros of some composite functions
Lietuvos Matematikos Rinkinys, 2011 We obtain an estimate of the number of zeros for the function F(zeta(s + i mh)), where zeta(s) is the Riemann zeta-function, and F : H(D)–> H(D) is a continuous function, D = {s ꞓ C: 1/2 < sigma < 1}.
Jovita Rašytė
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Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function
Mathematics, 2021 Recently, Special Function Theory (SPFT) and Operator Theory (OPT) have acquired a lot of concern due to their considerable applications in disciplines of pure and applied mathematics.
Firas Ghanim +3 more
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Large gaps between consecutive zeros of the Riemann zeta-function. II
, 2013 Assuming the Riemann Hypothesis we show that there exist infinitely many consecutive zeros of the Riemann zeta-function whose gaps are greater than 2.9 times the average ...
Bui, H. M.
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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On Maslanka's Representation for the Riemann Zeta Function
International Journal of Mathematics and Mathematical Sciences, 2010 A rigorous proof is given of the hypergeometric-like representation of the Riemann zeta function 𝜁(𝑠) discovered by Maslanka as a series of Pochhamer polynomials with coefficients depending on the values of 𝜁 at the positive even integers.
Luis Báez-Duarte
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Hierarchy of the Selberg zeta functions
, 2004 We introduce a Selberg type zeta function of two variables which interpolates several higher Selberg zeta functions. The analytic continuation, the functional equation and the determinant expression of this function via the Laplacian on a Riemann surface
E. D’Hoker +12 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
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A new generalization of the Riemann zeta function and its difference equation
Advances in Difference Equations, 2011 We have introduced a new generalization of the Riemann zeta function. A special case of our generalization converges locally uniformly to the Riemann zeta function in the critical strip.
Qadir Asghar +2 more
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A Bicomplex Riemann Zeta Function
Tokyo Journal of Mathematics, 2004 The author uses a commutative generalization of complex numbers, called bicomplex numbers, to introduce a holomorphic Riemann zeta function of two complex variables, which satisfies the complexified Cauchy-Riemann equations. Moreover, the author establishes a bicomplex Riemann hypothesis which is equivalent to the complex Riemann hypothesis of one ...
openaire +3 more sources
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Recent advances in the numerical solution of fractional partial differential equations have yielded promising results. In particular, the Shifted Grünwald–Letnikov (SGL) approach allows for a generalization of the traditional finite difference method to the context of fractional differential equations.
Pedro Victor Serra Mascarenhas +1 more
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