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Mehler-Heine formulas for orthogonal polynomials with respect to the modified Jacobi weight. (English) Zbl 1290.42054
Summary: The ladder operator approach has been applied to deduce the Mehler-Heine type formulas for orthogonal polynomials with respect to the modified Jacobi weight $\omega_{\alpha\beta ,h}(x)=h(x)(1-x)^\alpha(1+x)^\beta, \quad x\in [-1,1],$ where $$\alpha$$, $$\beta > 0$$, and with $$h$$ real analytic and strictly positive on $$[-1,1]$$.

##### MSC:
 42C05 Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis 42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
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##### References:
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