Abstract
By employing an interesting modification of the familiar multiplying-factor technique, which was developed elsewhere by B. Noble [Proc. Cambridge Philos. Soc. 59 , 363–371 (1963)], an exact solution is obtained for a certain pair of dual equations involving series of Jacobi polynomials. Also computed are the values of these general series on the intervals over which their values are not already specified. Several special or confluent cases of the dual series equations considered here are shown to lead to (known or new) dual equations involving series of Jacobi or Laguerre polynomials ; these simpler pairs of dual series equations were solved in the earlier works by A. P. Dwivedi and T. N. Trivedi [Indag. Math. 36 , 203–210 (1974)], J. S. Lowndes [Proc. Edinburgh Math. Soc. Ser. II 16 , 273–280 (1969)], Rekha Panda [Indag. Math. 39 , 122–127 (1977)], and H. M. Srivastava [ cf., e.g. , Indag. Math. 35 , 137–141 (1973)].
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
