The Journal of the Indian Mathematical Society

Haridas Bagchi ¹

Affiliations
1 Calcutta University, IN

Abstract

The bicircular quartic is the two-dimensional analogue of the general cyclide, some of whose properties were considered by the present writer in a previous paper. It is needless to repeat the corresponding work for the bicircular quartic, but it is worth while to consider some special results regarding this curve.

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Haridas Bagchi ¹

Affiliations
1 University of Calcutta, IN

Abstract

In this paper, certain series, finite as well as infinite, involving Legendre and Bessel functions as well as their allied functions, are summed up by the help of the linear difference equations satisfied by these functions. Some of the results are not new, having been deduced by other writers by special methods. But the methods of this paper are claimed to be quite elegant and elementary, and are capable of being applied to the summation of several series whose terms satisfy certain linear difference equations of the second order. The methods can also possibly be extended so as to be applicable to some other types of linear difference equations.

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Haridas Bagchi ¹

Affiliations
1 Calcutta University, IN

Abstract

In this paper, some properties of the general cyclide are investigated, regarding the existence of a centre, and also regarding some loci associated with the polar quadrics of the surface.

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