On properties of the solutions of the Weber equation

  • Yu.S. Trukhan Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
Keywords: entire function, $l$-index boundedness, convex function, growth, Weber equation
Published online: 2015-12-24

Abstract


Growth, convexity and the $l$-index boundedness of the functions $\alpha(z)$ and $\beta(z)$, such that $\alpha(z^4)$ and $z\beta(z^4)$ are linear independent solutions of the Weber equation $w''-(\frac{z^2}4-\nu-\frac12) w=0$ if $\nu=-\frac12$ are investigated.

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