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 ...

In particular, for a given real (not necessarily integer) value n of the number of degrees of freedom, we give a pair of power series approximations for the inverse, F−1 n , of the cumulative ...

State if a rule is a function and, if it is, determine if it has an inverse that is also a function and justify Determine if a function is linear, quadratic, exponential, or none of these and provide ...

Inspired by Rearick's work on logarithm and exponential functions of arithmetic functions, we introduce two new operators, LOG and EXP. The LOG operates on generalized Fibonacci polynomials giving ...

Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...

Determining composite and inverse functions Composite and inverse functions can be determined for trigonometric, logarithmic, exponential or algebraic functions.

By exploring positive geometry, mathematicians are revealing hidden shapes that may unify particle physics and cosmology, offering new ways to understand both collisions in accelerators and the ...