The Journal of the Indian Mathematical Society

Rama Shankar Varma

Abstract

Some Inequalities Satisfied by the Hyper-Geometric Series in Two Variables.

Full Text

     

Rama Shankar Varma ¹

Affiliations
1 Allahabad University, IN

Abstract

The object of this paper is to investigate the different orders of the periodic solutions of the differential equation.

Full Text

     

A. C. Banerji ¹, Rama Shankar Varma ¹

Affiliations
1 Allahabad University, IN

Abstract

The object of this paper is to consider the problem of Tidal waves in a canal where the banks have the form of similar elliptic arcs whose eccentricity diifers from unity by a small quantity. The depth is taken to vary along the length of the canal in the form of an elliptic arc which has also its eccentricity differing from unity by a small quantity.

Full Text

     

Rama Shankar Varma

Abstract

The functions of the parabolic cylinder are defined as the solutions of the differential equation :

d² y/dz ₂ + Zy = 0,

where Z is a quadratic function of z.

Full Text

     

A. C. Banerji , Rama Shankar Varma

Abstract

The object of the present paper is to solve the two-dimensiona problem of Tidal Waves in an elliptic basin which shelves gradually from the centre to the edge, the depth being the same at all points of an ellipse which is similar and similarly situated to the bounding ellipse. The case of a circular basin of variable depth where the depth at all points of a circle concentric with the bounding circle is the same, has already been solved by Lamb.*

Full Text