‎the objective of this paper is to obtain an upper bound to the second hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$‎ ‎for the function $f$‎, ‎belonging to the class of gamma-starlike functions‎, ‎using toeplitz determinants‎. ‎the result presented here include‎ ‎two known results as their special cases‎.

A method to derive general standard and null Lagrangians for second-order differential equations whose solutions are special function of mathematical physics is presented. The used find the corresponding gauge functions. All derived new in cases they reduce those published literature. obtained results applied Bessel, Hermite Legendre equations, which have many applications physics, mathematics ...

children suffering from decreased renal function may demand unique considerations regarding special oral and dental conditions they are encountered to. it is mentioned that renal function deterioration may affect the hard or soft tissues of the mouth. having knowledge about the high prevalence of dental defects, calculus, gingival hyperplasia, modified salivary composition and tissue responses ...