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Meixner polynomials of an imaginary argument and some of their applications".
17:
658:
32:
229:{\displaystyle M_{n}(x,\beta ,\gamma )=\sum _{k=0}^{n}(-1)^{k}{n \choose k}{x \choose k}k!(x+\beta )_{n-k}\gamma ^{-k}}
258:
Meixner, J. (1934). "Orthogonale
Polynomsysteme mit einer besonderen Gestalt der erzeugenden Funktion".
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618:
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Meixner polynomials".
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610:
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329:
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Meixner polynomials".
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397:"Some multivariable orthogonal polynomials of the Askey tableau-discrete families"
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337:
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528:
511:
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429:
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641:
468:
279:
Al-Salam, W. A. (1966). "On a characterization of
Meixner's Polynomials".
346:
543:
420:
387:
364:"Multivariable Meixer, Krawtchouk, and Meixner-Pollaczek polynomials"
560:; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.),
396:
363:
632:
553:
512:"Asymptotic formulas for the zeros of Meixner Polynomials"
430:"Difference equations for generalized Meixner Polynomials"
339:
Orthogonal polynomials and applications (Bar-le-Duc, 1984)
60:
478:"Non-standard orthogonality for Meixner Polynomials"
228:
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260:Journal of the London Mathematical Society
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563:NIST Handbook of Mathematical Functions
40:
428:Bavinck, H.; Vanhaeringen, H. (1994).
7:
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33:discrete orthogonal polynomials
566:, Cambridge University Press,
198:
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43:). They are given in terms of
1:
611:10.1088/1751-8113/44/3/035202
510:Jin, X.-S.; Wong, R. (1999).
29:discrete Laguerre polynomials
18:MeixnerâPollaczek polynomials
485:Electron. Trans. Numer. Anal
330:10.1088/0305-4470/18/10/014
675:
15:
554:"Hahn Class: Definitions"
16:Not to be confused with
591:J. Phys. A: Math. Theor
395:Tratnik, M. V. (1991).
362:Tratnik, M. V. (1989).
659:Orthogonal polynomials
529:10.1006/jath.1998.3235
491:: 1â25. Archived from
447:10.1006/jmaa.1994.1214
230:
115:
642:10.3233/ASY-2011-1060
469:10.1007/s003659900066
310:J. Phys. A: Math. Gen
272:10.1112/jlms/s1-9.1.6
231:
95:
45:binomial coefficients
301:10.1093/qmath/17.1.7
246:Kravchuk polynomials
58:
603:2011JPhA...44c5202B
434:J. Math. Anal. Appl
413:1991JMP....32.2337T
380:1989JMP....30.2740T
322:1985JPhA...18.1583A
293:1966QJMat..17....7A
25:Meixner polynomials
558:Olver, Frank W. J.
347:10.1007/BFb0076530
226:
31:) are a family of
573:978-0-521-19225-5
516:J. Approx. Theory
457:Construct. Approx
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49:Pochhammer symbol
47:and the (rising)
37:Josef Meixner
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252:References
633:1101.4370
219:−
215:γ
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240:See also
599:Bibcode
582:2723248
409:Bibcode
376:Bibcode
355:0838970
318:Bibcode
289:Bibcode
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556:, in
539:arXiv
496:(PDF)
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568:ISBN
264:s1-9
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