Results 31 to 40 of about 5,448,308 (166)
Fractional Calculus of the Extended Hypergeometric Function
, 2020 Here, our aim is to demonstrate some formulae of generalization of the extended hypergeometric function by applying fractional derivative operators. Furthermore, by applying certain integral transforms on the resulting formulas and develop a new futher ...
Sahin, Recep +3 more
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Extended Riemann-Liouville type fractional derivative operator with applications
Open Mathematics, 2017 The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Agarwal P., Nieto Juan J., Luo M.-J.
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A Data‐Driven Model of the Geomagnetic Storm Recovery Phase
Space Weather, Volume 24, Issue 11, November 2026.Abstract The recovery phase of geomagnetic storms poses a significant challenge for accurate space weather forecasting. Traditional models based on a constant decay rate fail to capture its prolonged and variable duration, leading to uncertainties in predicting impacts on technological systems.
G. Consolini +5 more
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Some New Hypergeometric Transformations via Fractional Calculus Technique [PDF]
, 2020 In this paper, we establish a new hypergeometric transformation involving Gauss function using fractional calculus technique. We also obtain some other known and new identities involving Gauss function as special cases of our main result.
Faisal Khan, Mohammad
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A Note on Wright-type Generalized q-hypergeometric Function
Известия Иркутского государственного университета: Серия "Математика"In 2001, Virchenko et al. published a paper on a new generalization of Gauss hypergeometric function, namely Wright-type generalized hypergeometric function. Present work aims to define the q-analogue generalized hypergeometric function, which reduces to
K. K. Chaudhary, S. B. Rao
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Advances in Difference Equations, 2018 In this paper, we present further generalizations of the beta function; Riemann–Liouville, Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function with six parameters.
Ayşegül Çetinkaya +3 more
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Microphysics and Kinematics of a High Flash Rate Storm With a Bottom‐Heavy Charge Structure
Journal of Geophysical Research: Atmospheres, Volume 131, Issue 19, 16 October 2026.Abstract An atypical thunderstorm with unusual lightning and charge structure characteristics propagated through Cordoba province, Argentina, during the austral warm season in late 2018. This storm exhibited echo tops near 10.5 km, with high lightning activity concentrated at low altitudes.
Bruno L. Medina +4 more
wiley +1 more source
Some Properties of Extended Hypergeometric Function and Its Transformations
, 2018 There emerges different extended versions of Beta function and hypergeometric functions containing extra parameters. We obtain some properties of certain functions like extended Generalized Gauss hypergeometric functions, extended Confluent ...
Prakriti Rai, Aparna Chaturvedi
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Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations [PDF]
, 2007 Two-by-two matrix functions, which are the lifts of the local solutions of the matrix hypergeometric differential equation of SL SL type at 0,1,∞ 0,1,∞ to the upper half plane by the lambda function, are introduced.
WATANABE, Humihiko
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New Extension of Beta Function and Its Applications
International Journal of Mathematics and Mathematical Sciences, 2018 In the present paper, new type of extension of classical beta function is introduced and its convergence is proved. Further it is used to introduce the extension of Gauss hypergeometric function and confluent hypergeometric functions. Then we study their
Mehar Chand, Hanaa Hachimi, Rekha Rani
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