Photo from archive.org
We study the system of functions λ 1+ n ( x ) generated by the system of Laguerre functions. We express functions λ 1+ n ( x ) in terms… Click to show full abstract
We study the system of functions λ 1+ n ( x ) generated by the system of Laguerre functions. We express functions λ 1+ n ( x ) in terms of Laguerre polynomials $$L_n^\alpha (x)$$ L n α ( x ) . Using the obtained representations and asymptotic formulas for polynomials $$L_n^\alpha (x)$$ L n α ( x ) , we study the behavior of functions λ 1+ n ( x ) on [0,∞) with n →∞ and deduce estimates analogous to those for Laguerre functions.
Keywords:
laguerre polynomials;
polynomials exponential;
exponential weight;
integral estimates;
estimates laguerre;
weight function
Journal Title: Russian Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Russian Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!