[12] N. Takayama, Computation of intersection numbers of a twisted homology group of a locally constant sheaf of more than 1 dimension, 1995, preprint. Corollary 5.2. The monodromy matrices of solutions of the dierential equation (z d dz p Y k=2 z d dz + b k 0 1 0 z p Y k=1 z d dz + a k) y = 0 which correspond to the compact chambers of the hyperplane arrangement ((1 0 t 1)(z 0 t p01) p02 Y i=1...

ABSTRACT In the present paper we evaluate the Selberg integral involving the S generalized Gauus's hypergeometric function, a multivariable Aleph-function, the multivariable I-function defined by Nambisan et al [3] and general class of polynomials of several variables. The importance of the result established in this paper lies in the fact they involve the I-function of several variables which ...

We develop an extension of the classical Bell polynomials introducing the Laguerre-type version of this well-known mathematical tool. The Laguerre-type Bell polynomials are useful in order to compute the nth Laguerre-type derivatives of a composite function. Incidentally, we generalize a result considered by L. Carlitz in order to obtain explicit relationships between Bessel functions and gener...

In this paper, a class of analytic functions with fixed argument of its coefficients involving Wright’s generalized hypergeometric function is defined with the help of subordination. The coefficient inequalities have been derived. Growth, distortion bounds and extreme points for functions belonging to the defined class have been investigated with consequent results.

The purpose of the present paper is to introduce new classes of meromorphic spiral-like functions de…ned by using a meromorphic analogue of the Choi-Saigo-Srivastava operator for the generalized hypergeometric function and investigate a number of inclusion relationships of these classes.

In the present paper, we investigate several inclusion relationships and other interesting properties of certain subclasses of meromorphically multivalent functions which are defined here by means of a linear operator involving the generalized hypergeometric function. Some interesting applications on Hadamard product concerning this and other classes of integral operators are also considered.

The Wright’s generalized hypergeometric function is used here to introduce a new class of p-valent functions WT p(λ, α, β) defined in the open unit disc and investigate its various characteristics. Further we obtain distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity of functions belonging to the class WT p(λ, α, β).