Orthogonality limits of Bessel Polynomials

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SUMMARY

The orthogonality limits of Bessel polynomials are directly related to their expression as generalized Laguerre polynomials, which possess orthogonality limits of [0, ∞). This implies that Bessel polynomials inherit these limits, confirming their orthogonality over the same interval. The discussion highlights the lack of explicit sources detailing these limits, emphasizing the need for further exploration in academic literature and mathematical resources.

PREREQUISITES
  • Understanding of Bessel polynomials
  • Familiarity with generalized Laguerre polynomials
  • Knowledge of orthogonality concepts in polynomial theory
  • Basic comprehension of Sturm-Liouville theory
NEXT STEPS
  • Research the properties of Bessel polynomials in mathematical literature
  • Study the relationship between Bessel polynomials and generalized Laguerre polynomials
  • Explore Sturm-Liouville problems and their applications to Bessel functions
  • Investigate additional resources on orthogonality limits in polynomial families
USEFUL FOR

Mathematicians, researchers in applied mathematics, and students studying polynomial theory and orthogonality concepts will benefit from this discussion.

prhzn
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Anyone who knows the limits of orthogonality for Bessel polynomials? Been searching the Internet for a while now and I can't find a single source which explicitly states these limits (wiki, wolfram, articles, etc).

One thought: since the Bessel polynomials can be expressed as a generalized Laguerre polynomials, which have the orthogonality limits [tex][0,\infty)[/tex], would it be correct to assume that the Bessel polynomials inherits these limits?
 
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