Search Results - Basic hypergeometric integrals and functions defined by them

Study on new integral operators defined using confluent hypergeometric function by Oros, Georgia Irina

“…Two new integral operators are defined in this paper using the classical Bernardi and Libera integral operators and the confluent (or Kummer…”
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Hypergeometry, integrability and lie theory : Virtual Conference Hypergeometry, Integrability and Lie Theory, December 7-11, 2020, Lorentz Center, Leiden, the Netherlands by Koelink, Erik, Kolb, Stefan, Reshetikhin, Nicolai, Vlaar, Bart, Virtual Conference on Hypergeometry, Integrability and Lie Theory

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K-theoretic wall-crossing formulas and multiple basic hypergeometric series by Ohkawa, R., Shiraishi, J.

“… We study the chainsaw quiver varieties, and consider generating functions defined by two types of K-theoretic classes…”
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Fuzzy Differential Subordinations Obtained Using a Hypergeometric Integral Operator by Oros, Georgia Irina

“… The new hypergeometric integral operator is defined by choosing particular parameters, having as inspiration the operator studied by Miller, Mocanu and Reade in 1978…”
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Strong Differential Subordinations and Superordinations for Riemann–Liouville Fractional Integral of Extended q-Hypergeometric Function by Alb Lupaş, Alina, Oros, Georgia Irina

“…–Liouville fractional integral of extended q-hypergeometric function is defined here, and it is…”
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Some Incomplete Hypergeometric Functions and Incomplete Riemann-Liouville Fractional Integral Operators by Özarslan, Mehmet Ali, Ustaoğlu, Ceren

“…Very recently, the incomplete Pochhammer ratios were defined in terms of the incomplete beta function B y ( x , z…”
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Upper and lower bounds of integral operator defined by the fractional hypergeometric function by Ibrahim, Rabha W., Ahmad, Muhammad Zaini, Al-Janaby, Hiba F.

“… By using the further extension of the extended Gauss hypergeometric functions, new subclasses of analytic functions containing extended Noor integral operator are introduced…”
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Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions by Alkahtani, Badr S., Bulboaca, Teodor, Mustafa, Saima

“…We introduce a new subclass of analytic functions in the unit disk U, defined by using the generalized hypergeometric functions, which extends some previous well-known classes defined by different authors…”
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Solutions Modulo p of Gauss–Manin Differential Equations for Multidimensional Hypergeometric Integrals and Associated Bethe Ansatz by Varchenko, Alexander

“… In some cases, we interpret the p-analogs of the hypergeometric integrals as sums over points of hypersurfaces defined over the finite field Fp…”
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A New Class of Extended Hypergeometric Functions Related to Fractional Integration and Transforms by Palsaniya, Vandana, Mittal, Ekta, Suthar, D. L., Joshi, Sunil

“… Four theorems have also been defined under the generalized fractional integral operators that provide an image formula for the extension of new Gauss hypergeometric functions and the extension of new…”
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Belyi Maps from Zeroes of Hypergeometric Polynomials by Vidunas, Raimundas

“…The evaluation of low-degree hypergeometric polynomials to zero defines algebraic hypersurfaces in the affine space of the free parameters and the argument of the hypergeometric function…”
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Subclasses of p-Valent κ-Uniformly Convex and Starlike Functions Defined by the q-Derivative Operator by Ali, Ekram E., Srivastava, Hari M., Albalahi, Abeer M.

“… On the other hand, the basic or quantum (or q-) derivatives and the basic or quantum (or q-) integrals are extensively applied in many different areas of the mathematical, physical and engineering sciences…”
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Applications of Subordination Chains and Fractional Integral in Fuzzy Differential Subordinations by Oros, Georgia Irina, Dzitac, Simona

“… of fuzzy set into geometric function theory. The fractional integral of Gaussian hypergeometric function is defined in this paper and using properties of the subordination chains, new fuzzy differential subordinations are obtained…”
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An extension of beta function, its statistical distribution, and associated fractional operator by Chandola, Ankita, Mishra Pandey, Rupakshi, Agarwal, Ritu, Dutt Purohit, Sunil

“… Using the newly defined extension of beta function, we build up the extension of hypergeometric and confluent hypergeometric functions and discuss their integral representations and differentiation formulas…”
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MAPPING PROPERTIES OF HOLOMORPHIC FUNCTION ASSOCIATED WITH GAUSSIAN HYPERGEOMETRIC FUNCTION by Yadav, P, Joshi, S, Pawar, H

“…This paper aims to present the associated results of holomorphic function J(z) := [J.sub.[micro],[delta]](p, q; r; z) defined on open unit disc U…”
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On a family of integrals that extend the Askey–Wilson integral by Ito, Masahiko, Witte, N.S.

“…)BC1-type Jackson integrals or φ2N+12N+2 basic hypergeometric functions…”
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Certain properties of the q-ℓ-Ψ Bessel function by Chudasama, Meera H., Dave, B. I.

“…We defined an extended Bessel function as q - ℓ - Ψ Bessel function in (Boll. Unione. Mat. Ital. 8(4):239–256, 2016 ). Here we obtain as the main results…”
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On Some Formulas for the Lauricella Function by Ryskan, Ainur, Ergashev, Tuhtasin

“…Lauricella, G. in 1893 defined four multidimensional hypergeometric functions FA, FB, FC and FD…”
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Convexity and Monotonicity Involving the Complete Elliptic Integral of the First Kind by Tian, Jing-Feng, Yang, Zhen-Hang

“…Let K r be the complete elliptic integral of the first kind defined on 0 , 1 . By virtue of the auxiliary function H f , g = f ′ / g…”
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SOME RESULTS ON k-HYPERGEOMETRIC FUNCTION by Mittal, E, Joshi, S, Suthar, D L

“…In this paper, we establish integral representation and di erentiation formu- las for k-Gauss hypergeometric function 2F1;k(a; b; c; z…”
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