Results 101 to 110 of about 3,001,317 (197)
Bi-Univalent Functions of Complex Order Defined by Hohlov Operator Associated with $(\mathcal {P,Q})-$Lucas Polynomial [PDF]
Sahand Communications in Mathematical AnalysisOn this study, two new subclasses of the function class $\Xi$ of bi-univalent functions of complex order defined in the open unit disc are introduced and investigated.
Elumalai Muthaiyan
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, 2007 —An asynchronous binary DS-CDMA system using random spreading sequences is considered when communicating over various fading channels. New closed-form expressions are derived for the conditional Characteristic Function (CF) of the multiple access ...
Liu, Xiang, Hanzo, Lajos
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Journal of Nigerian Society of Physical SciencesIn this study, rigorous analytical criteria are developed to determine when the Gaussian hypergeometric function belongs to the Sakaguchi-type class P(delta, sigma,t).
R. Kamali, S. Prema
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Inequalities for generalized hypergeometric functions [PDF]
, 1972 It is shown that some well-known Padé approximations for a particular form of the Gaussian hypergeometric function and two of its confluent forms give upper and lower bounds for these functions under suitable restrictions on the parameters and variable ...
Luke, Yudell L
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A Note on Convexity Properties for Gaussian Hypergeometric Function
Contemporary MathematicsGaussian hypergeometric function has been investigated in the context of geometric function theory regarding many aspects. Obtaining univalence conditions for this function is a line of research followed by many scholars. In the present study, methods specific to the differential superordination theory are used for obtaining properties of the Gaussian ...
Georgia Irina Oros, Ancuța Maria Rus
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MATHIEU-TYPE SERIES BUILT BY (p, q)-EXTENDED GAUSSIAN HYPERGEOMETRIC FUNCTION
Bulletin of the Korean Mathematical Society, 2017 The main purpose of this paper is to present closed integral form expressions for the Mathieu-type $\boldsymbol a$-series and its associated alternating version whose terms contain a $(p, q)$-extended Gauss' hypergeometric function. Certain upper bounds for the two series are also given.
Choi, Junesang +2 more
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Monotonicity properties of the Gaussian hypergeometric functions with applications
Journal of Mathematical InequalitiesIn this paper, the authors establish certain monotonicity properties of functions involving particular cases of Gaussian hypergeometric functions, which generalize known inequalities related to elliptic-type integrals and Grötzsch ring-type functions.
Ma, Xiao-Yan +2 more
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, 2007 We studied a novel family of paraxial laser beams forming an overcomplete yet nonorthogonal set of modes. These modes have a singular phase profile and are eigenfunctions of the photon orbital angular momentum. The intensity profile is characterized by a
Zito, Gianluigi +4 more
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Non-Gaussian integrals and general hypergeometric functions
, 2020 By a non-Gaussian integral we mean integral of the product of an arbitrary function and exponent of a polynomial. We develop a theory of such integrals, which generalizes and simplifies the theory of general hypergeometric functions in the sense of I. M. Gelfand et al.
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Motivic coaction on generalized hypergeometric functions [PDF]
This thesis deals with the motivic coaction and single-valued map for hypergeometric functions. It is known that hypergeometric functions have series expansions whose coefficients can be expressed in terms of multiple zeta values and multiple ...
Kamlesh, Deepak
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