Asymptotics of derivatives of orthogonal polynomials on the real line

E. Levin; D. S. Lubinsky

doi:10.1007/s10474-007-6183-6

Asymptotics of derivatives of orthogonal polynomials on the real line

E. Levin, D. S. Lubinsky

מתמטיקה

نتاج البحث: نشر في مجلة › مقالة › مراجعة النظراء

ملخص

We show that uniform asymptotics of orthogonal polynomials on the real line imply uniform asymptotics for all their derivatives. This is more technically challenging than the corresponding problem on the unit circle. We also examine asymptotics in the L ₂ norm.

اللغة الأصلية	الإنجليزيّة
الصفحات (من إلى)	115-127
عدد الصفحات	13
دورية	Acta Mathematica Hungarica
مستوى الصوت	118
رقم الإصدار	1-2
المعرِّفات الرقمية للأشياء	https://doi.org/10.1007/s10474-007-6183-6
حالة النشر	نُشِر - يناير 2008

ملاحظة ببليوغرافية

Funding Information:
∗Research supported by NSF grant DMS0400446 and US-Israel BSF grant 2004353. Key words and phrases: derivatives of orthogonal polynomials, asymptotics of orthogonal polynomials, Szeg®'s condition. 2000 Mathematics Subject Classification: primary 42C05, 42C99, secondary 41A60.

الوصول إلى المستند

10.1007/s10474-007-6183-6

الملفات والروابط الأخرى

Link to publication in Scopus

قم بذكر هذا

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abstract = "We show that uniform asymptotics of orthogonal polynomials on the real line imply uniform asymptotics for all their derivatives. This is more technically challenging than the corresponding problem on the unit circle. We also examine asymptotics in the L 2 norm.",

keywords = "Asymptotics of orthogonal polynomials, Derivatives of orthogonal polynomials, Szego's condition",

author = "E. Levin and Lubinsky, {D. S.}",

note = "Funding Information: ∗Research supported by NSF grant DMS0400446 and US-Israel BSF grant 2004353. Key words and phrases: derivatives of orthogonal polynomials, asymptotics of orthogonal polynomials, Szeg{\textregistered}'s condition. 2000 Mathematics Subject Classification: primary 42C05, 42C99, secondary 41A60.",

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AU - Lubinsky, D. S.

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KW - Asymptotics of orthogonal polynomials

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KW - Szego's condition

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Asymptotics of derivatives of orthogonal polynomials on the real line

ملخص

ملاحظة ببليوغرافية

الوصول إلى المستند

الملفات والروابط الأخرى

بصمة

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