vocabulaire	1	1	CONTENTS
RACCOURCIS	2	2	INTRODUCTION....................... ix
geometrie	3	3	STANDARD FORMS ..................... xv
géometrie	4	4	FOURIER TRANSFORMS    1
maths-sixieme	5	5	CHAPTER I
equations	6	6	FOURIER COSINE TRANSFORMS
INTEGRALES	7	7	1.1.    General formulas.................. ^	7
maths	8	8	1.2.    Algebraic functions................. 7	7
mathematiques	9	9	1.3.    Powers with arbitrary index..............	10
maths/index	10	10	1.4.    Exponential functions................ ^	14
maths/001	11	11	1.5.    Logarithmic functions................ 17	17
index-maths-a.	12	12	1.6.    Trigonometric functions of argument kx......... lg	18
index-maths	13	13	1.7.    Trigonometric functions of other arguments....... 23	23
grammaire	14	14	1.8.    Inverse trigonometric functions............ 29	29
langues	15	15	1.9.    Hyperbolic functions................. 30	30
dictionnaire	16	16	1.10.    Orthogonal polynomials............... 3g	38
conjugaison	17	17	1.11.    Gamma function (including incomplete    gamma
photos	18	18	function) and related    functions; Legendre function ....    39	39
VIDEOS	19	19	1.12.    Bessel functions of argument kx........... 43	43
sciences	20	20	1.13.    Bessel functions of other arguments.......... 51	51
TECHNIQUES	21	21	1.14.    Other higher transcendental functions......... 60	60
electromagnetisme	22	22	CHAPTER II
physique	23	23	FOURIER SINE TRANSFORMS
thermodynamique	24	24	2.1.    General formulas.................. 63	63
electrotechnique	25	25	2.2.    Algebraic functions................. 54	64
Wantzel	26	26	2.3.    Powers with arbitrary index............. 53	68
Extraction_de_racines_carrées	27	27	2.4.    Exponential functions................ 72	72
Cafe-10-12-10.pdf	28	28	2.5.    Logarithmic functions................ 76	76
WANTZEL	29	29	2.6.    Trigonometric functions of argument kx........ 78	78
quantum-theory-wanclik	30	30	2.7.    Trigonometric functions of other arguments...... 82	82
equation-du-second-degre	31	31	2.8.    Inverse trigonometric functions........... 87	87
Équation_cubique	32	32	2.9.    Hyperbolic functions............... 88	88
troisieme-degre	33	33	2.10.    Orthogonal polynomials.............. 94	94
Cubic_equation	34	34	2.LI. Gamma functions (including incomplete gamma function)	96
Équation_du_troisième_degré	35	35	and related functions; Legendre function....... 96
equation-troisieme-degre	36	36	2.12.    Bessel functions of argument kx........... 99	99
equation_troisieme_degre.pdf	37	37	2.13.    Bessel functions of other arguments......... 108	108
Eqa3dex.	38	38	2.14.    Other higher transcendental functions........ 115	115
reimann-une-enigme-	39	39	CHAPTER III
sanscrit	40	40	EXPONENTIAL FOURIER TRANSFORMS
equa31	41	41	3.1.    General formulas................. 117	117
pdf	42	42	3.2.    Elementary functions................ 118	118
FOURIER-transfoRms	43	43	3.3.    Higher transcendental functions........... 122	122
	44	44	LAPLACE TRANSFORMS    125	125
	45	45	CHAPTER IV
	46	46	LAPLACE TRANSFORMS
	47	47	4.1.    General formulas................. 129	129
	48	48	4.2.    Algebraic functions................ 133	133
	49	49	4.3.    Powers with an arbitrary index........... 137	137
	50	50	4.4.    Step-, jump-, and other sectionally rational functions .    141	141
	51	51	4.5.    Exponential functions............... 143	143
	52	52	4.6.    Logarithmic functions............... 148	148
	53	53	4.7.    Trigonometric functions.............. 150	150
	54	54	4.8.    Inverse trigonometric functions........... 160	160
	55	55	4.9.    Hyperbolic functions................ 162	162
	56	56	4.10.    Inverse hyperbolic functions............ 167	167
	57	57	4.11.    Orthogonal polynomials............... 170	170
	58	58	4.12.    Gamma function, error function, exponential integral and
	59	59	related functions................. 176	176
	60	60	4.13.    Legendre functions................ 179	179
	61	61	4.14.    Bessel functions of arguments kt and kt'^....... 182	182
	62	62	4.15.    Bessel functions of other arguments......... 190	190
	63	63	4.16.    Modified Bessel functions of arguments kt
	64	64	and kt*..................... 195	195
	65	65	4.17.    Modified Bessel functions of other arguments ....    199	199
	66	66	4.18.    Kelvin’s functions and related functions....... 203	203
	67	67	4.19.    Functions related to Bessel functions, Struve, Lommel
	68	68	and Bessel integral functions........... 205	205
	69	69	4.20.    Parabolic cylinder functions............ 210	210
	70	70	4.21.    Gauss’ hypergeometric functions.......... 212	212
	71	71	4.22.    Confluent hypergeometric functions......... 214	214
	72	72	4.23.    Generalized hypcrgeometric series......... 217	217
	73	73	4.24.    Hypergeomctric functions of several    variables ....    222	222
	74	74	4.25.    Elliptic functions................. 224	224
	75	75	4.26.    Miscellaneous functions.............. 225	225
	76	76	CHAPTER V
	77	77	INVERSE LAPLACE TRANSFORMS
	78	78	5.1.    General formulas................. 227	227
	79	79	5.2.    Rational functions................ 229	229
	80	80	5.3.    Irrational algebraic functions........... 233	233
	81	81	5.4.    Powers with an arbitrary index........... 238	238
	82	82	5.5.    Exponential functions of arguments p and 1/p ....    241	241
	83	83	5.6.    Exponential functions of other arguments...... 245	245
	84	84	5.7.    Logarithmic functions............... 250	250
	85	85	5.8.    Trigonometric functions.............. 253	253
	86	86	5.9.    Hyperbolic functions............... 255	255
	87	87	5.10.    Orthogonal polynomials.............. 259	259
	88	88	5.11.    Gamma function, incomplete gumma functions, zeta
	89	89	function and related functions........... 261	261
	90	90	5.12.    Error function, exponential integral and related
	91	91	functions.................... 265	265
	92	92	5.13.    Legendre functions................ 270	270
	93	93	5.14.    Bessel functions................. 272	272
	94	94	5.15.    Modified Bessel functions of arguments    kp and kp2 . .    276	276
	95	95	5.16.    Modified Bessel functions of other arguments ....    279	279
	96	96	5.17.    Functions related to Bessel functions........ 286	286
	97	97	5. L8.    Parabolic cylinder functions............ 289	289
	98	98	5.19.    Gauss’hypcrgeometric function.......... 291	291
	99	99	5.20.    Confluent hypergeomctric functions......... 293	293
	100	100	5.21.    Generalized hypcrgeometric functions........ 297	297
	101	101	5.22.    Elliptic functions and theta functions........ 299	299
	102	102	MELLIN TRANSFORMS    303	303
	103	103	CHAPTER VI
	104	104	MELLIN TRANSFORMS
	105	105	6.1.    General formulas.................. 307	307
	106	106	6.2.    Algebraic functions and powers with arbitrary    index    .    .    308	308
	107	107	6.3.    Exponential functions................ 312	312
	108	108	6.4.    Logarithmic functions................ 314	314
	109	109	6.5.    Trigonometric and inverse trigonometric functions .    .    .    317	317
	110	110	6.6.    Hyperbolic and inverse hyperbolic functions...... 322	322
	111	111	6.7.    Orthogonal polynomials, gamma functions, Legendre
	112	112	functions and related functions............ 324	324
	113	113	6.8.    Bessel functions and related functions........ 326	326
	114	114	6.9.    Other higher transcendental functions......... 336	336
	115	115	CHAPTER VII
	116	116	INVERSE MELLIN TRANSFORMS
	117	117	7.1.    Algebraic functions and powers with arbitrary    index.    .    .    341	341
	118	118	7.2.    Other elementary functions.............. 344	344
	119	119	7.3.    Gamma function and related functions; Kicmann’s zeta
	120	120	function...................... 347	347
	121	121	7.4.    Bessel functions.................. 356	356
	122	122	7.5.    Other higher transcendental functions......... 362	362
	123	123	APPENDIX
	124	124	Notations and definitions of higher transcendental
	125	125	functions..................... 367	367
	126	126	INDEX OF NOTATIONS................... 389	389
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