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Asymptotic formulas for unified elliptic-type integrals

Saxena R. K., Pathan M. A.

Demonstratio Mathematica

2003

Vol. 36, nr 3

579--589

The object of this article is to present a unification and generalisation of certain families of elliptic-type integrals which were studied in a number of earlier works on the subject due to their importance for possible applications in certain problems arising in radiation physics and nuclear technology. The results obtained are of general character and include the investigations carried out by several authors including Srivastava and Siddiqi, Kalla and Tuan, Al-Zamel et al and Saxena et al.

On the stability of the Gauss equation

Bil A.

Demonstratio Mathematica

1998

Vol. 31, nr 4

841-848

The stability of the Gauss functional equation (1) is proved. The stability considered here is in a sense analogous to that examined by Th. M. Rassias [4] and Z. Gajda [3] in connection with the Cauchy functional equation.