Generalized Bessel functions of the first kind:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2010
|
| Series: | Lecture notes in mathematics
1994 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XIV, 206 S. graph. Darst. |
| ISBN: | 9783642122293 |
Staff View
MARC
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Record in the Search Index
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CONTENTS 1 INTRODUCTION AND PRELIMINARY RESULTS 1 1.1 OVERVIEW 1 1.2
GENERALIZED BESSEL FUNCTIONS OF THE FIRST KIND 7 1.3 CLASSICAL
INEQUALITIES 21 2 GEOMETRIC PROPERTIES OF GENERALIZED BESSEL FUNCTIONS
23 2.1 UNIVALENCE OF GENERALIZED BESSEL FUNCTIONS 23 2.1.1 SUFFICIENT
CONDITIONS INVOLVING JACK'S LEMMA 26 2.1.2 SUFFICIENT CONDITIONS
INVOLVING THE ADMISSIBLE FUNCTION METHOD 28 2.1.3 SUFFICIENT CONDITIONS
INVOLVING THE ALEXANDER TRANSFORM 31 2.1.4 SUFFICIENT CONDITIONS
INVOLVING RESULTS OF L. FEJER 36 2.2 STARLIKENESS AND CONVEXITY
PROPERTIES OF GENERALIZED BESSEL FUNCTIONS 39 2.2.1 SUFFICIENT
CONDITIONS INVOLVING JACK'S LEMMA 39 2.2.2 SUFFICIENT CONDITIONS
INVOLVING THE ADMISSIBLE FUNCTION METHOD 41 2.2.3 SUFFICIENT CONDITIONS
INVOLVING RESULTS OF H. SILVERMAN 50 2.2.4 CLOSE-TO-CONVEXITY WITH
RESPECT TO CERTAIN FUNCTIONS 55 2.3 APPLICATIONS INVOLVING BESSEL
FUNCTIONS ASSOCIATED WITH HARDY SPACE OF ANALYTIC FUNCTIONS 57 2.3.1
BESSEL TRANSFORMS AND HARDY SPACE OF GENERALIZED BESSEL FUNCTIONS 58
2.3.2 A MONOTONICITY PROPERTY OF GENERALIZED BESSEL FUNCTIONS 62 3
INEQUALITIES INVOLVING BESSEL AND HYPERGEOMETRIC FUNCTIONS 71 3.1
FUNCTIONAL INEQUALITIES INVOLVING QUOTIENTS OF SOME SPECIAL FUNCTIONS 73
3.1.1 PRELIMINARY RESULTS 77 3.1.2 INEQUALITIES INVOLVING RATIOS OF
GENERALIZED BESSEL FUNCTIONS 80 3.1. BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/1000500438 DIGITALISIERT DURCH X CONTENTS 3.2
FUNCTIONAL INEQUALITIES INVOLVING SPECIAL FUNCTIONS 85 3.2.1
INEQUALITIES INVOLVING GAUSSIAN HYPERGEOMETRIC FUNCTIONS . 85 3.2.2
INEQUALITIES INVOLVING GENERALIZED BESSEL FUNCTIONS 91 3.2.3
INEQUALITIES INVOLVING CONFLUENT HYPERGEOMETRIC FUNCTIONS . 93 3.2.4
INEQUALITIES INVOLVING GENERAL POWER SERIES AND CONCLUDING REMARKS 94
3.3 LANDEN-TYPE INEQUALITY FOR BESSEL FUNCTIONS 99 3.3.1 LANDEN-TYPE
INEQUALITY FOR GENERALIZED BESSEL FUNCTIONS 100 3.3.2 LANDEN-TYPE
INEQUALITY FOR GENERAL POWER SERIES 102 3.4 CONVEXITY OF HYPERGEOMETRIC
FUNCTIONS WITH RESPECT TO HOLDER MEANS 103 3.4.1 INTRODUCTION AND
PRELIMINARIES 103 3.4.2 CONVEXITY OF HYPERGEOMETRIC FUNCTIONS WITH
RESPECT TO HOLDER MEANS 104 3.4.3 CONVEXITY OF GENERAL POWER SERIES WITH
RESPECT TO HOLDER MEANS 108 3.4.4 CONCLUDING REMARKS 110 3.5 ASKEY'S AND
GRIINBAUM'S INEQUALITY FOR GENERALIZED BESSEL FUNCTIONS 112 3.5.1
ASKEY'S AND GRIINBAUM'S INEQUALITY FOR GENERALIZED BESSEL FUNCTIONS 113
3.5.2 LOWER AND UPPER BOUNDS FOR GENERALIZED BESSEL FUNCTIONS .115 3.6
INEQUALITIES INVOLVING MODIFIED BESSEL FUNCTIONS 118 3.7 MISCELLANEOUS
INEQUALITIES INVOLVING THE GENERALIZED BESSEL FUNCTIONS 128 3.7.1
MITRINOVIC'S INEQUALITY AND MAHAJAN'S INEQUALITY 129 3.7.2 REDHEFFER'S
INEQUALITY 132 3.7.3 CUSA'S INEQUALITY AND RELATED INEQUALITIES 135
3.7.4 EXTENSIONS OF JORDAN'S INEQUALITY 139 3.7.5 SHARP JORDAN TYPE
INEQUALITIES FOR BESSEL FUNCTIONS 144 3.7. |
| any_adam_object | 1 |
| author | Baricz, Árpád 1981- |
| author_GND | (DE-588)141459034 |
| author_facet | Baricz, Árpád 1981- |
| author_role | aut |
| author_sort | Baricz, Árpád 1981- |
| author_variant | á b áb |
| building | Verbundindex |
| bvnumber | BV036486427 |
| classification_rvk | SI 850 |
| classification_tum | MAT 336f |
| ctrlnum | (OCoLC)642989525 (DE-599)DNB1000500438 |
| dewey-full | 515.53 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.53 |
| dewey-search | 515.53 |
| dewey-sort | 3515.53 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-20T10:38:34Z |
| institution | BVB |
| isbn | 9783642122293 |
| language | English |
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| physical | XIV, 206 S. graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Baricz, Árpád 1981- Verfasser (DE-588)141459034 aut Generalized Bessel functions of the first kind Árpád Baricz Berlin [u.a.] Springer 2010 XIV, 206 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1994 Bessel-Funktionen (DE-588)4069359-4 gnd rswk-swf Bessel-Funktionen (DE-588)4069359-4 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-12230-9 Lecture notes in mathematics 1994 (DE-604)BV000676446 1994 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3433235&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020409110&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Baricz, Árpád 1981- Generalized Bessel functions of the first kind Lecture notes in mathematics Bessel-Funktionen (DE-588)4069359-4 gnd |
| subject_GND | (DE-588)4069359-4 |
| title | Generalized Bessel functions of the first kind |
| title_auth | Generalized Bessel functions of the first kind |
| title_exact_search | Generalized Bessel functions of the first kind |
| title_full | Generalized Bessel functions of the first kind Árpád Baricz |
| title_fullStr | Generalized Bessel functions of the first kind Árpád Baricz |
| title_full_unstemmed | Generalized Bessel functions of the first kind Árpád Baricz |
| title_short | Generalized Bessel functions of the first kind |
| title_sort | generalized bessel functions of the first kind |
| topic | Bessel-Funktionen (DE-588)4069359-4 gnd |
| topic_facet | Bessel-Funktionen |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3433235&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020409110&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT bariczarpad generalizedbesselfunctionsofthefirstkind |