Some new conditions on the entire coefficients A(z) and B(z), which guarantee every nontrivial solution of f″ + A(z)f′ + B(z)f = 0 is of infinite order, are given in this paper. Two classes of entire ...
The Tricomi-Carlitz polynomials satisfy the second-order linear difference equation $(n+1)f_{n+1}^{(\alpha)}(x)-(n+\alpha )xf_{n}^{(\alpha)}(x)+f_{n-1}^{(\alpha)}(x ...
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