Properties of the power series whose coefficients are the reciprocals of the Fibonacci numbers are derived. It is shown that this function is equivalent to a generalized Lambert series. An application ...

In the paper, the authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine and tangent, for composite of incomplete gamma function with inverse hyperbolic ...

Spectral theory provides a rigorous framework for analysing the eigenvalues and eigenfunctions of differential operators that play an essential role in mathematical physics. In particular, ...