Set theory, the mathematical study of collections of objects, forms a foundation for much of modern mathematics, while cardinal functions provide a means to quantify the sizes of these sets, ...

The stability of certain sets of multiplicity is studied with reference to special classes of differentiable functions. Kronecker sets are produced as examples of instability. The most difficult ...

In this article you will find the solved practice paper for IIT JEE Main. This practice paper consists of 10 questions. These questions are from the chapter Relations and Functions of Mathematics. We ...

It is well known that the hypergeometric functions $_2F_1 (\alpha \pm 1, \beta, \gamma; t), _2F_1(\alpha, \beta \pm 1, \gamma; t), \quad _2F_1 (\alpha, \beta, \gamma \pm 1; t),$ which are continguous ...