[PDF] Top 20 7. Some Results on a Generalized Hypergeometric $k$-Functions
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7. Some Results on a Generalized Hypergeometric $k$-Functions
... special functions encountered in physics, engineering and probability theory are special cases of hypergeometric functions see ([8],[9],[12],[13], [16],[17], ...the hypergeometric function in ... See full document
12
A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators
... of hypergeometric functions and fractional ...obtaining some generating function relations of these hy- pergeometric functions ...the results for negative values of the ...[10] ... See full document
11
Some Results on (j,k) Symmetric Starlike Harmonic Functions
... subclasses and their properties. Since then, there have been several studies related to the class H and its subclasses. Following Clunie and Sheil-Small [2], Frasin[3], Subramanian et al [1], Jahangiri et al. [4, 5, 6, ... See full document
11
Certain Subclasses of Starlike Functions of Complex Order Involving Generalized Hypergeometric Functions
... The interesting geometric properties of these function classes were extensively studied by Kanas et al., in 11–14. Motivated by Altintas et al. 15, Murugusundaramoorthy and Srivastava 16, and Murugusundaramoorthy and ... See full document
12
8. Harmonic univalent Functions associated With generalized hypergeometric functions
... various results presented in this paper would provide interesting extensions and generalizations of those considered earlier for simpler harmonic function classes (see [5, 6, 8, ...the results presented in ... See full document
8
Hypergeometric Functions: Application in Distribution Theory
... The hypergeometric function is a special function encountered in a variety of ...transcendental functions are generalized from hypergeometric ...These functions are applied in different ... See full document
7
On bounds involving k Appell’s hypergeometric functions
... via k-Riemann-Liouville fractional integrals. Two new k-fractional integral identities are also ...obtain some new k-fractional bounds which involve k-Appell’s hypergeometric ... See full document
15
On Generalized k-Fractional Derivative Operator
... introduce k-fractional derivative op- erator by using the definition of k-beta ...establish some results related to the newly defined fractional operator such as Mellin transform and relations ... See full document
9
An application of Lauricella hypergeometric functions to the generalized heat equations
... authors generalized the fractional complex transform to obtain accurate solutions for time-fractional differential equations with the modified Riemann-Liouville derivative ... See full document
6
Some inequalities involving k gamma and k beta functions with applications II
... of k-special functions like the k-gamma function, the k-polygamma function, the k-beta function, the k-hypergeometric functions, solutions of ... See full document
19
9. A generalized class of $k$-uniformly starlike functions involving Wgh operators
... a generalized class of k-uniformly starlike functions is ...defined. Some results on coefficient inequalities, inclusion and convolution properties for functions belonging to this ... See full document
11
Some Wgh Inequalities for Univalent Harmonic Analytic Functions
... R. K. Raina and H. M. Srivastava, “Some Classes of Analytic Functions Associated with Operators on Hilbert Space Involving Wright’s Generalized Hyper- geometric Function,” Proceedings of the ... See full document
6
Heat Conduction and Sequence of Functions Containing Generalized Hypergeometric Function
... of functions containing generalized hypergeometric function and the multivariable I- function defined by Prathima ...[ 7 ]. Some particular cases related to H- function of several ... See full document
5
6. Extended generalized hypergeometric functions and their applications
... certain generalized Pochhammer symbol and its applications to hypergeometric functions, ...to hypergeometric and related functions, Integral Transforms ... See full document
13
11. On the Hypergeometric Matrix $k$-Functions
... define some results of an integral representations of hypergeometric matrix ...special k-functions (see ...of hypergeometric k- differential ...F k (P, Q; R; z) is ... See full document
14
Some results on certain subclasses of analytic functions involving generalized hypergeometric functions and Hadamard product
... By using a certain linear operator defined by a Hadamard product or convolution, several interesting subclasses of analytic functions in the unit disc are introduced and some unifying re[r] ... See full document
6
3. Some recurrence relations for the generalized basic hypergeometric functions
... the results deduced in the present article appears to be a new contribution to the theory of basic hypergeometric ...pergeometric functions by the applications of iterated q-integral representation ... See full document
8
Multiplication and Translation Formulas for the Generalized Hypergeometric Functions and Their Applications
... the generalized hypergeometric functions have found significant applications in various fields such as Klein-Gordon equation [1], exact renormalization group equations [2], the fractional integral ... See full document
11
An inequality for generalized complete elliptic integral
... These functions have some applications in the quasi-conformal the- ory, geometric function theory and the theory of Ramanujan modular ...established some Turán type inequalities for a Gauss ... See full document
6
Classes of multivalent analytic and meromorphic functions with two fixed points
... The object of the present paper is to investigate the coefficients estimates, distortion properties, the radii of starlikeness and convexity, subordination theorems, partial sums and integral mean inequalities for the ... See full document
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