Polinomial Chihara–Ismail
Dalam matematika, Polinomial Chihara–Ismail adalah keluarga polinomial ortogonal yang diperkenalkan oleh Chihara and Ismail (1982). Polinomial ini merupakan generalisasi dari Polinomial van Doorn (yang diperkenalkan oleh (van Doorn 1981)) dan polinomial Karlin–McGregor. Polinomial ini memiliki pengukuran yang agak tidak biasa, yaitu berupa diskrit kecuali untuk satu titik batas pada 0 dengan melompati 0, dan bersifat non-simetris, tetapi memiliki jumlah yang tak terbatas pada poin positif dan negatif.
Referensi
- Chihara, Theodore Seio; Ismail, Mourad E. H. (1982), "Orthogonal polynomials suggested by a queueing model", Advances in Applied Mathematics, 3 (4): 441–462, doi:10.1016/S0196-8858(82)80017-1, ISSN 0196-8858, MR 0682630
- van Doorn, Erik A. (1981), "The transient state probabilities for a queueing model where potential customers are discouraged by queue length", Journal of Applied Probability, 18 (2): 499–506, doi:10.2307/3213296, ISSN 0021-9002, MR 0611792
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