[PDF] Top 20 6. Extended generalized hypergeometric functions and their applications

... slightly generalized version of ...incomplete hypergeometric functions by replacing one of the Pochhammer symbols involving in the coefficient of the generalized hypergeometric function ... See full document

... resented for p, q = 0, 1, 2, · · · . In Section 3, some recursive relations of the partial derivatives of the incomplete gamma function are established. In Section 4, using the results of Section 2 and 3, we consider ... See full document

... calculus, generalized hypergeometric functions, Hadamard products, linear operators, and certain subclasses of analytic functions,” Nagoya Mathematical Journal, ... See full document

... its applications. Most of the special functions encountered in physics, engineering and probability theory are special cases of hypergeometric functions see ([8],[9],[12],[13], [16],[17], ... See full document

... authors generalized the fractional complex transform to obtain accurate solutions for time-fractional differential equations with the modified Riemann-Liouville derivative ... See full document

... basic hypergeometric functions of one and more variables has a wide range of applications in various fields of Mathematical, Physical and Engineering Sciences, namely-Number theory, Partition theory, ... See full document

... The integral fractional path operator introduced by Matai [13] is investigated as follows. Let with , and be the pathway parameter. It should be noted that the exponential path operator (6) may lead to other ... See full document

... in [18, 19]. Properties of this GWHF were investigated in [8], (see also [10, 9]. In particular, it was proved [8] that p ψ q (z), z ∈ C is an entire function under the condition (5). Compo- sitions of GBF and GSF with ... See full document

... Extensions, generalizations, and unifications of Euler’s Beta function together with re- lated higher transcendent hypergeometric type special functions were investigated recently by several authors, ... See full document

... of hypergeometric functions and fractional ...[10] generalized the results which were obtained in ...confluent hypergeometric function and obtained the results for positive and negative values ... See full document

... analytic functions with fixed argument of its coefficients involving Wright’s generalized hypergeometric function is defined with the help of ...for functions belonging to the defined class have ... See full document

... Univalent Functions, ...1983. 6 H. M. Srivastava and A. K. Mishra, “Applications of fractional calculus to parabolic starlike and uniformly convex functions,” Computers & Mathematics with ... See full document

... Abstract In [10] we defined and studied a class of generalized hypergeometric functions ( , ) B n α β ( , , ) x y w . In this paper an attempt has been made to obtain some bilateral generating ... See full document

... new extended- Jacobi and Laguerre basis functions which are the solution of two non-classical Sturm-Liouville eigenvalue ...basis functions are proved in ...basis functions. The numerical ... See full document

... Recently in [14], a fingerprint recognition method based on Gabor wavelet transform and discrete cosine transform (DCT) was proposed useful development in computer engi- neering. In this section, applications to ... See full document

... of extended beta ...of extended hypergeometric and confluent hyperge- ometric functions with the help of newly defined beta function and established various properties, integral representations ... See full document

... In this paper, we established the generalization of extended beta function and hyperge- ometric functions. In conclusion, by letting λ = 1, the results obtained in this paper will reduces to the results of ... See full document

... the extended Mittag-Leffler functions by using the extended Beta functions (Chaudhry et ...these functions is given in terms of generalized Wright hypergeometric ...the ... See full document

... Many orthogonal polynomials can be represented by the hypergeometric functions or the basic hypergeometric series. So, if we can determine the nature of coefficients of multipli- cation and ... See full document

... Concluding Remarks: By choosing 𝜏 = 1 and 𝜆 = 0 the various results presented in this paper would provide interesting extensions and generalizations of those considered earlier for simpler harmonic function classes (see ... See full document