Abstract
The article aims to explore some new classes of differential equations and associated integral equations for some hybrid families of Laguerre polynomials. The recurrence relations and differential, integro-differential and partial differential equations for the hybrid Laguerre–Appell polynomials are derived via the factorization method. An analogous study of these results for the hybrid Laguerre–Bernoulli, Euler and Genocchi polynomials is presented. Further, the Volterra integral equations for the hybrid Laguerre–Appell polynomials and for their corresponding members are also explored.
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Some curvature properties of paracontact metric manifolds
- An iterative method for solving minimization, variational inequality and fixed point problems in reflexive Banach spaces
- On some classes of differential equations and associated integral equations for the Laguerre–Appell polynomials
- On nonexistence of global solutions of a quasilinear riser equation
- Qualitative uncertainty principle for the Gabor transform on certain locally compact groups
- Existence of a solution for a nonlocal elliptic system of (p(x),q(x))-Kirchhoff type
Articles in the same Issue
- Frontmatter
- Some curvature properties of paracontact metric manifolds
- An iterative method for solving minimization, variational inequality and fixed point problems in reflexive Banach spaces
- On some classes of differential equations and associated integral equations for the Laguerre–Appell polynomials
- On nonexistence of global solutions of a quasilinear riser equation
- Qualitative uncertainty principle for the Gabor transform on certain locally compact groups
- Existence of a solution for a nonlocal elliptic system of (p(x),q(x))-Kirchhoff type