MARC details
| 000 -LEADER |
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| fixed length control field |
03126cam a22003497a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
0000072173 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
0001 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
170622s2012 nyua b 001 0 eng d |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
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| Record control number |
016112287 |
| Source |
Uk |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783642308970 (paperback) |
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| International Standard Book Number |
364230897X |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
BTCTA |
| Language of cataloging |
eng |
| Transcribing agency |
BTCTA |
| Modifying agency |
UKMGB |
| -- |
YDXCP |
| -- |
CLS |
| -- |
OCLCO |
| -- |
TXI |
| -- |
OHX |
| -- |
BWX |
| -- |
DLC |
| 042 ## - AUTHENTICATION CODE |
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| Authentication code |
lccopycat |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.83 |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
515.83 |
| Item number |
ANN-F |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Annaby, Mahmoud H. |
| 245 10 - TITLE STATEMENT |
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| Title |
q-Fractional calculus and equations / |
| Medium |
[Book] |
| Statement of responsibility, etc. |
Mahmoud H. Annaby, Zeinab S. Mansour, editors. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
New York : |
| Name of publisher, distributor, etc. |
Springer Verlag, |
| Date of publication, distribution, etc. |
2012. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xix, 318 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
23 cm. |
| 365 ## - TRADE PRICE |
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| Price type code |
01 |
| Price amount |
0.00 |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Lecture notes in mathematics (Springer-Verlag) ; |
| Volume/sequential designation |
2056. |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Lecture notes in mathematics ; |
| Volume/sequential designation |
2056 |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
This nine-chapter monograph introduces a rigorous investigation of q-difference operators in standard and fractional settings. It starts with elementary calculus of q-differences and integration of Jackson’s type before turning to q-difference equations. The existence and uniqueness theorems are derived using successive approximations, leading to systems of equations with retarded arguments. Regular q-Sturm–Liouville theory is also introduced; Green’s function is constructed and the eigenfunction expansion theorem is given. The monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional q-calculi. Hence fractional q-calculi of the types Riemann–Liouville; Grünwald–Letnikov; Caputo; Erdľyi–Kober and Weyl are defined analytically. Fractional q-Leibniz rules with applications in q-series are also obtained with rigorous proofs of the formal results of Al-Salam-Verma, which remained unproved for decades. In working towards the investigation of q-fractional difference equations; families of q-Mittag-Leffler functions are defined and their properties are investigated, especially the q-Mellin–Barnes integral and Hankel contour integral representation of the q-Mittag-Leffler functions under consideration, the distribution, asymptotic and reality of their zeros, establishing q-counterparts of Wiman’s results. Fractional q-difference equations are studied; existence and uniqueness theorems are given and classes of Cauchy-type problems are completely solved in terms of families of q-Mittag-Leffler functions. Among many q-analogs of classical results and concepts, q-Laplace, q-Mellin and q2-Fourier transforms are studied and their applications are investigated. |
| 521 ## - TARGET AUDIENCE NOTE |
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| Target audience note |
All |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Fractional calculus. |
| Geographic subdivision |
Integral equations |
|
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| Topical term or geographic name entry element |
Integral transforms |
| Geographic subdivision |
Difference equations |
|
|---|
| Topical term or geographic name entry element |
Functions of complex variables |
| Geographic subdivision |
Functional equations |
|
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| Topical term or geographic name entry element |
Mathematics |
| Geographic subdivision |
Mathematical physics |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Annaby, Mahmoud H. |
|
|---|
| Personal name |
Mansour, Zeinab S. |
| 852 ## - LOCATION |
|---|
| Piece designation |
56419 |
| -- |
5935.95 |
| Classification part |
515.83 ANN-F |
| -- |
Progressive International Agencies Pvt. Ltd. CUI Lahore |
| Sublocation or collection |
Ground Floor |
| Former shelving location |
Books |
| Copy number |
1 |
| Piece physical condition |
1-New |
| Location |
JZL-CUI |
