Displaying similar documents to “A special class of two dimensional exponential-Bessel series of Fox’s H -function”

Real closed exponential fields

Paola D'Aquino, Julia F. Knight, Salma Kuhlmann, Karen Lange (2012)

Fundamenta Mathematicae

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Ressayre considered real closed exponential fields and “exponential” integer parts, i.e., integer parts that respect the exponential function. In 1993, he outlined a proof that every real closed exponential field has an exponential integer part. In the present paper, we give a detailed account of Ressayre’s construction and then analyze the complexity. Ressayre’s construction is canonical once we fix the real closed exponential field R, a residue field section k, and a well ordering...

The Umbral operator and the integration involving generalized Bessel-type functions

Kottakkaran Sooppy Nisar, Saiful Rahman Mondal, Praveen Agarwal, Mujahed Al-Dhaifallah (2015)

Open Mathematics

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The main purpose of this paper is to introduce a class of new integrals involving generalized Bessel functions and generalized Struve functions by using operational method and umbral formalization of Ramanujan master theorem. Their connections with trigonometric functions with several distinct complex arguments are also presented.

Exponential smoothing based on L-estimation

Přemysl Bejda, Tomáš Cipra (2015)

Kybernetika

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Robust methods similar to exponential smoothing are suggested in this paper. First previous results for exponential smoothing in L 1 are generalized using the regression quantiles, including a generalization to more parameters. Then a method based on the classical sign test is introduced that should deal not only with outliers but also with level shifts, including a detection of change points. Properties of various approaches are investigated by means of a simulation study. A real data...

Symmetric Bessel multipliers

Khadija Houissa, Mohamed Sifi (2012)

Colloquium Mathematicae

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We study the L p -boundedness of linear and bilinear multipliers for the symmetric Bessel transform.