Research article
|
05 Dec 2017
Research article |
|
05 Dec 2017
Analytic solutions for Long's equation and its generalization
Viewed
Total article views: 1,810 (including HTML, PDF, and XML)
HTML
PDF
XML
Total
BibTeX
EndNote
957
684
169
1,810
140
152
HTML: 957
PDF: 684
XML: 169
Total: 1,810
BibTeX: 140
EndNote: 152
Views and downloads (calculated since 10 Jul 2017)
Month
HTML
PDF
XML
Total
Jul 2017
57
21
4
82
Aug 2017
40
13
1
54
Sep 2017
18
2
1
21
Oct 2017
10
2
1
13
Nov 2017
8
4
0
12
Dec 2017
58
30
6
94
Jan 2018
55
32
21
108
Feb 2018
29
11
6
46
Mar 2018
17
10
3
30
Apr 2018
26
12
9
47
May 2018
15
10
4
29
Jun 2018
13
14
4
31
Jul 2018
11
9
6
26
Aug 2018
21
10
6
37
Sep 2018
12
11
4
27
Oct 2018
11
8
7
26
Nov 2018
17
11
5
33
Dec 2018
13
6
3
22
Jan 2019
15
4
2
21
Feb 2019
19
7
2
28
Mar 2019
14
12
2
28
Apr 2019
13
5
4
22
May 2019
14
8
4
26
Jun 2019
13
9
1
23
Jul 2019
10
11
2
23
Aug 2019
7
5
1
13
Sep 2019
7
7
0
14
Oct 2019
9
10
1
20
Nov 2019
7
5
1
13
Dec 2019
7
9
1
17
Jan 2020
15
14
6
35
Feb 2020
10
3
0
13
Mar 2020
6
5
2
13
Apr 2020
6
4
1
11
May 2020
9
6
5
20
Jun 2020
19
16
2
37
Jul 2020
44
58
16
118
Aug 2020
5
7
3
15
Sep 2020
15
3
0
18
Oct 2020
9
13
0
22
Nov 2020
5
8
0
13
Dec 2020
5
5
0
10
Jan 2021
16
8
0
24
Feb 2021
4
5
0
9
Mar 2021
3
5
0
8
Apr 2021
7
5
0
12
May 2021
3
4
0
7
Jun 2021
7
6
1
14
Jul 2021
1
6
0
7
Aug 2021
2
4
0
6
Sep 2021
7
9
0
16
Oct 2021
3
35
0
38
Nov 2021
12
25
2
39
Dec 2021
10
8
0
18
Jan 2022
5
6
1
12
Feb 2022
6
4
4
14
Mar 2022
6
4
1
11
Apr 2022
3
6
0
9
May 2022
2
1
1
4
Jun 2022
2
1
3
Jul 2022
6
2
0
8
Aug 2022
7
3
0
10
Sep 2022
4
3
0
7
Oct 2022
6
0
6
Nov 2022
6
11
0
17
Dec 2022
6
3
0
9
Jan 2023
8
7
0
15
Feb 2023
9
6
0
15
Mar 2023
11
7
1
19
Apr 2023
20
0
20
May 2023
13
4
0
17
Jun 2023
1
3
1
5
Jul 2023
5
5
0
10
Aug 2023
5
4
2
11
Sep 2023
2
5
0
7
Oct 2023
6
2
0
8
Nov 2023
5
2
0
7
Dec 2023
10
5
2
17
Jan 2024
4
3
0
7
Feb 2024
2
2
0
4
Mar 2024
4
11
1
16
Apr 2024
4
5
4
13
Cumulative views and downloads
(calculated since 10 Jul 2017)
Month
HTML views
PDF downloads
XML downloads
Jul 2017
57
21
4
82
Aug 2017
97
34
5
136
Sep 2017
115
36
6
157
Oct 2017
125
38
7
170
Nov 2017
133
42
7
182
Dec 2017
191
72
13
276
Jan 2018
246
104
34
384
Feb 2018
275
115
40
430
Mar 2018
292
125
43
460
Apr 2018
318
137
52
507
May 2018
333
147
56
536
Jun 2018
346
161
60
567
Jul 2018
357
170
66
593
Aug 2018
378
180
72
630
Sep 2018
390
191
76
657
Oct 2018
401
199
83
683
Nov 2018
418
210
88
716
Dec 2018
431
216
91
738
Jan 2019
446
220
93
759
Feb 2019
465
227
95
787
Mar 2019
479
239
97
815
Apr 2019
492
244
101
837
May 2019
506
252
105
863
Jun 2019
519
261
106
886
Jul 2019
529
272
108
909
Aug 2019
536
277
109
922
Sep 2019
543
284
109
936
Oct 2019
552
294
110
956
Nov 2019
559
299
111
969
Dec 2019
566
308
112
986
Jan 2020
581
322
118
1,021
Feb 2020
591
325
118
1,034
Mar 2020
597
330
120
1,047
Apr 2020
603
334
121
1,058
May 2020
612
340
126
1,078
Jun 2020
631
356
128
1,115
Jul 2020
675
414
144
1,233
Aug 2020
680
421
147
1,248
Sep 2020
695
424
147
1,266
Oct 2020
704
437
147
1,288
Nov 2020
709
445
147
1,301
Dec 2020
714
450
147
1,311
Jan 2021
730
458
147
1,335
Feb 2021
734
463
147
1,344
Mar 2021
737
468
147
1,352
Apr 2021
744
473
147
1,364
May 2021
747
477
147
1,371
Jun 2021
754
483
148
1,385
Jul 2021
755
489
148
1,392
Aug 2021
757
493
148
1,398
Sep 2021
764
502
148
1,414
Oct 2021
767
537
148
1,452
Nov 2021
779
562
150
1,491
Dec 2021
789
570
150
1,509
Jan 2022
794
576
151
1,521
Feb 2022
800
580
155
1,535
Mar 2022
806
584
156
1,546
Apr 2022
809
590
156
1,555
May 2022
811
591
157
1,559
Jun 2022
813
591
158
1,562
Jul 2022
819
593
158
1,570
Aug 2022
826
596
158
1,580
Sep 2022
830
599
158
1,587
Oct 2022
836
599
158
1,593
Nov 2022
842
610
158
1,610
Dec 2022
848
613
158
1,619
Jan 2023
856
620
158
1,634
Feb 2023
865
626
158
1,649
Mar 2023
876
633
159
1,668
Apr 2023
896
633
159
1,688
May 2023
909
637
159
1,705
Jun 2023
910
640
160
1,710
Jul 2023
915
645
160
1,720
Aug 2023
920
649
162
1,731
Sep 2023
922
654
162
1,738
Oct 2023
928
656
162
1,746
Nov 2023
933
658
162
1,753
Dec 2023
943
663
164
1,770
Jan 2024
947
666
164
1,777
Feb 2024
949
668
164
1,781
Mar 2024
953
679
165
1,797
Apr 2024
957
684
169
1,810
Total article views: 1,413 (including HTML, PDF, and XML)
HTML
PDF
XML
Total
BibTeX
EndNote
749
503
161
1,413
134
144
HTML: 749
PDF: 503
XML: 161
Total: 1,413
BibTeX: 134
EndNote: 144
Views and downloads (calculated since 05 Dec 2017)
Month
HTML
PDF
XML
Total
Dec 2017
54
26
6
86
Jan 2018
54
28
21
103
Feb 2018
28
10
6
44
Mar 2018
14
8
3
25
Apr 2018
24
11
9
44
May 2018
12
9
4
25
Jun 2018
12
11
4
27
Jul 2018
10
8
6
24
Aug 2018
18
8
6
32
Sep 2018
11
9
4
24
Oct 2018
11
7
7
25
Nov 2018
12
9
5
26
Dec 2018
10
5
3
18
Jan 2019
13
4
2
19
Feb 2019
18
7
2
27
Mar 2019
13
11
2
26
Apr 2019
11
5
4
20
May 2019
14
7
4
25
Jun 2019
12
8
1
21
Jul 2019
9
10
2
21
Aug 2019
6
4
1
11
Sep 2019
6
6
0
12
Oct 2019
6
9
1
16
Nov 2019
7
4
1
12
Dec 2019
6
6
1
13
Jan 2020
14
13
6
33
Feb 2020
9
3
0
12
Mar 2020
5
4
2
11
Apr 2020
6
4
1
11
May 2020
8
6
5
19
Jun 2020
14
8
2
24
Jul 2020
40
24
16
80
Aug 2020
4
4
3
11
Sep 2020
14
3
0
17
Oct 2020
9
12
0
21
Nov 2020
4
8
0
12
Dec 2020
4
3
0
7
Jan 2021
15
6
0
21
Feb 2021
4
4
0
8
Mar 2021
2
1
0
3
Apr 2021
7
4
0
11
May 2021
2
1
0
3
Jun 2021
7
5
1
13
Jul 2021
1
2
0
3
Aug 2021
2
3
0
5
Sep 2021
7
7
0
14
Oct 2021
2
29
0
31
Nov 2021
12
23
2
37
Dec 2021
9
2
0
11
Jan 2022
5
5
1
11
Feb 2022
6
3
4
13
Mar 2022
5
4
1
10
Apr 2022
3
3
0
6
May 2022
2
1
3
Jun 2022
2
1
3
Jul 2022
5
2
0
7
Aug 2022
7
3
0
10
Sep 2022
4
3
0
7
Oct 2022
5
0
5
Nov 2022
6
10
0
16
Dec 2022
5
2
0
7
Jan 2023
7
6
0
13
Feb 2023
8
3
0
11
Mar 2023
8
5
1
14
Apr 2023
20
0
20
May 2023
13
3
0
16
Jun 2023
1
3
1
5
Jul 2023
4
4
0
8
Aug 2023
5
3
2
10
Sep 2023
2
5
0
7
Oct 2023
5
2
0
7
Nov 2023
5
1
0
6
Dec 2023
10
5
2
17
Jan 2024
4
3
0
7
Feb 2024
2
2
0
4
Mar 2024
4
10
0
14
Apr 2024
4
4
4
12
Cumulative views and downloads
(calculated since 05 Dec 2017)
Month
HTML views
PDF downloads
XML downloads
Dec 2017
54
26
6
Jan 2018
108
54
27
Feb 2018
136
64
33
Mar 2018
150
72
36
Apr 2018
174
83
45
May 2018
186
92
49
Jun 2018
198
103
53
Jul 2018
208
111
59
Aug 2018
226
119
65
Sep 2018
237
128
69
Oct 2018
248
135
76
Nov 2018
260
144
81
Dec 2018
270
149
84
Jan 2019
283
153
86
Feb 2019
301
160
88
Mar 2019
314
171
90
Apr 2019
325
176
94
May 2019
339
183
98
Jun 2019
351
191
99
Jul 2019
360
201
101
Aug 2019
366
205
102
Sep 2019
372
211
102
Oct 2019
378
220
103
Nov 2019
385
224
104
Dec 2019
391
230
105
Jan 2020
405
243
111
Feb 2020
414
246
111
Mar 2020
419
250
113
Apr 2020
425
254
114
May 2020
433
260
119
Jun 2020
447
268
121
Jul 2020
487
292
137
Aug 2020
491
296
140
Sep 2020
505
299
140
Oct 2020
514
311
140
Nov 2020
518
319
140
Dec 2020
522
322
140
Jan 2021
537
328
140
Feb 2021
541
332
140
Mar 2021
543
333
140
Apr 2021
550
337
140
May 2021
552
338
140
Jun 2021
559
343
141
Jul 2021
560
345
141
Aug 2021
562
348
141
Sep 2021
569
355
141
Oct 2021
571
384
141
Nov 2021
583
407
143
Dec 2021
592
409
143
Jan 2022
597
414
144
Feb 2022
603
417
148
Mar 2022
608
421
149
Apr 2022
611
424
149
May 2022
613
424
150
Jun 2022
615
424
151
Jul 2022
620
426
151
Aug 2022
627
429
151
Sep 2022
631
432
151
Oct 2022
636
432
151
Nov 2022
642
442
151
Dec 2022
647
444
151
Jan 2023
654
450
151
Feb 2023
662
453
151
Mar 2023
670
458
152
Apr 2023
690
458
152
May 2023
703
461
152
Jun 2023
704
464
153
Jul 2023
708
468
153
Aug 2023
713
471
155
Sep 2023
715
476
155
Oct 2023
720
478
155
Nov 2023
725
479
155
Dec 2023
735
484
157
Jan 2024
739
487
157
Feb 2024
741
489
157
Mar 2024
745
499
157
Apr 2024
749
503
161
Total article views: 397 (including HTML, PDF, and XML)
HTML
PDF
XML
Total
BibTeX
EndNote
208
181
8
397
6
8
HTML: 208
PDF: 181
XML: 8
Total: 397
BibTeX: 6
EndNote: 8
Views and downloads (calculated since 10 Jul 2017)
Month
HTML
PDF
XML
Total
Jul 2017
57
21
4
82
Aug 2017
40
13
1
54
Sep 2017
18
2
1
21
Oct 2017
10
2
1
13
Nov 2017
8
4
0
12
Dec 2017
4
4
0
8
Jan 2018
1
4
0
5
Feb 2018
1
1
0
2
Mar 2018
3
2
0
5
Apr 2018
2
1
0
3
May 2018
3
1
0
4
Jun 2018
1
3
0
4
Jul 2018
1
1
0
2
Aug 2018
3
2
0
5
Sep 2018
1
2
0
3
Oct 2018
1
0
1
Nov 2018
5
2
0
7
Dec 2018
3
1
0
4
Jan 2019
2
0
2
Feb 2019
1
0
1
Mar 2019
1
1
0
2
Apr 2019
2
0
2
May 2019
1
0
1
Jun 2019
1
1
0
2
Jul 2019
1
1
0
2
Aug 2019
1
1
0
2
Sep 2019
1
1
0
2
Oct 2019
3
1
0
4
Nov 2019
1
0
1
Dec 2019
1
3
0
4
Jan 2020
1
1
0
2
Feb 2020
1
0
1
Mar 2020
1
1
0
2
Apr 2020
0
May 2020
1
0
1
Jun 2020
5
8
0
13
Jul 2020
4
34
0
38
Aug 2020
1
3
0
4
Sep 2020
1
0
1
Oct 2020
1
0
1
Nov 2020
1
0
1
Dec 2020
1
2
0
3
Jan 2021
1
2
0
3
Feb 2021
1
0
1
Mar 2021
1
4
0
5
Apr 2021
1
0
1
May 2021
1
3
0
4
Jun 2021
1
0
1
Jul 2021
4
0
4
Aug 2021
1
0
1
Sep 2021
2
0
2
Oct 2021
1
6
0
7
Nov 2021
2
0
2
Dec 2021
1
6
0
7
Jan 2022
1
0
1
Feb 2022
1
0
1
Mar 2022
1
0
1
Apr 2022
3
0
3
May 2022
1
0
1
Jun 2022
0
Jul 2022
1
0
1
Aug 2022
0
Sep 2022
0
Oct 2022
1
0
1
Nov 2022
1
0
1
Dec 2022
1
1
0
2
Jan 2023
1
1
0
2
Feb 2023
1
3
0
4
Mar 2023
3
2
0
5
Apr 2023
0
May 2023
1
0
1
Jun 2023
0
Jul 2023
1
1
0
2
Aug 2023
1
0
1
Sep 2023
0
Oct 2023
1
0
1
Nov 2023
1
0
1
Dec 2023
0
Jan 2024
0
Feb 2024
0
Mar 2024
1
1
2
Apr 2024
1
0
1
Cumulative views and downloads
(calculated since 10 Jul 2017)
Month
HTML views
PDF downloads
XML downloads
Jul 2017
57
21
4
Aug 2017
97
34
5
Sep 2017
115
36
6
Oct 2017
125
38
7
Nov 2017
133
42
7
Dec 2017
137
46
7
Jan 2018
138
50
7
Feb 2018
139
51
7
Mar 2018
142
53
7
Apr 2018
144
54
7
May 2018
147
55
7
Jun 2018
148
58
7
Jul 2018
149
59
7
Aug 2018
152
61
7
Sep 2018
153
63
7
Oct 2018
153
64
7
Nov 2018
158
66
7
Dec 2018
161
67
7
Jan 2019
163
67
7
Feb 2019
164
67
7
Mar 2019
165
68
7
Apr 2019
167
68
7
May 2019
167
69
7
Jun 2019
168
70
7
Jul 2019
169
71
7
Aug 2019
170
72
7
Sep 2019
171
73
7
Oct 2019
174
74
7
Nov 2019
174
75
7
Dec 2019
175
78
7
Jan 2020
176
79
7
Feb 2020
177
79
7
Mar 2020
178
80
7
Apr 2020
178
80
7
May 2020
179
80
7
Jun 2020
184
88
7
Jul 2020
188
122
7
Aug 2020
189
125
7
Sep 2020
190
125
7
Oct 2020
190
126
7
Nov 2020
191
126
7
Dec 2020
192
128
7
Jan 2021
193
130
7
Feb 2021
193
131
7
Mar 2021
194
135
7
Apr 2021
194
136
7
May 2021
195
139
7
Jun 2021
195
140
7
Jul 2021
195
144
7
Aug 2021
195
145
7
Sep 2021
195
147
7
Oct 2021
196
153
7
Nov 2021
196
155
7
Dec 2021
197
161
7
Jan 2022
197
162
7
Feb 2022
197
163
7
Mar 2022
198
163
7
Apr 2022
198
166
7
May 2022
198
167
7
Jun 2022
198
167
7
Jul 2022
199
167
7
Aug 2022
199
167
7
Sep 2022
199
167
7
Oct 2022
200
167
7
Nov 2022
200
168
7
Dec 2022
201
169
7
Jan 2023
202
170
7
Feb 2023
203
173
7
Mar 2023
206
175
7
Apr 2023
206
175
7
May 2023
206
176
7
Jun 2023
206
176
7
Jul 2023
207
177
7
Aug 2023
207
178
7
Sep 2023
207
178
7
Oct 2023
208
178
7
Nov 2023
208
179
7
Dec 2023
208
179
7
Jan 2024
208
179
7
Feb 2024
208
179
7
Mar 2024
208
180
8
Apr 2024
208
181
8
Viewed (geographical distribution)
Total article views: 1,810 (including HTML, PDF, and XML)
Thereof 1,716 with geography defined
and 94 with unknown origin.
Total article views: 1,413 (including HTML, PDF, and XML)
Thereof 1,340 with geography defined
and 73 with unknown origin.
Total article views: 397 (including HTML, PDF, and XML)
Thereof 376 with geography defined
and 21 with unknown origin.
Total:
0
HTML:
0
PDF:
0
XML:
0
Total:
0
HTML:
0
PDF:
0
XML:
0
Total:
0
HTML:
0
PDF:
0
XML:
0
Cited
Latest update: 24 Apr 2024