A class of finite -series
A class of finite -series - II
A class of finite -series. - III
A generalization of the Weber-Schafheitlin integral.
A geometric study of the hypergeometric function with imaginary exponents.
A geometrical proof of a new inequality for the gamma function.
A naive-topological study of the contiguity relations for hypergeometric functions
When the parameters are real, the hypergeometric equation defines a Schwarz triangle. We study a combinatorial-topological property of the Schwarz triangle when the three angles are not necessarily less than π.
A new criterion for close-to-convexity of partial sums of certain hypergeometric functions.
A note on an inequality for the gamma function.
A note on certain hypergeometric differential equations
A note on certain inequalities for the gamma function.
A note on the accuracy of Ramanujan's approximative formula for the perimeter of an ellipse.
A Note on the Generalization of a Summation Formula for Appell’s Function
A note on weighted identric and logarithmic means.
A proof of a conjecture of Knuth.
A simple proof of Ramanujan's summation of the ... .
A watsonian theorem for multiple series
Almost everywhere convergence of the inverse Jacobi transform and endpoint results for a disc multiplier
The maximal operator S⁎ for the spherical summation operator (or disc multiplier) associated with the Jacobi transform through the defining relation for a function f on ℝ is shown to be bounded from into for (4α + 4)/(2α + 3) < p ≤ 2. Moreover S⁎ is bounded from into . In particular converges almost everywhere towards f, for , whenever (4α + 4)/(2α + 3) < p ≤ 2.
An Analog of the Tricomi Problem for a Mixed Type Equation with a Partial Fractional Derivative
Mathematics Subject Classification 2010: 35M10, 35R11, 26A33, 33C05, 33E12, 33C20.The paper deals with an analog of Tricomi boundary value problem for a partial differential equation of mixed type involving a diffusion equation with the Riemann-Liouville partial fractional derivative and a hyperbolic equation with two degenerate lines. By using the properties of the Gauss hypergeometric function and of the generalized fractional integrals and derivatives with such a function in the kernel, the uniqueness...
An application of hypergeometric functions to a problem in function theory.